Hướng dẫn how do you rotate a matrix 180 in python? - làm cách nào để xoay ma trận 180 trong python?
Với một ma trận vuông, nhiệm vụ là chúng ta xoay nó bằng 180 độ theo hướng ngược chiều kim đồng hồ mà không sử dụng bất kỳ không gian bổ sung nào. & NBSP; Show
Ví dụ: & nbsp; Input : 1 2 3 4 5 6 7 8 9 Output : 9 8 7 6 5 4 3 2 1 Input : 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 Output : 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 Phương pháp: 1 (chỉ in ma trận xoay) & nbsp; Giải pháp của vấn đề này là xoay ma trận bằng 180 độ, chúng ta có thể dễ dàng theo bước đó & nbsp; Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a00 Từ hình minh họa ở trên, chúng ta có được điều đó chỉ đơn giản là xoay ma trận bằng 180 độ thì chúng ta sẽ phải in ma trận theo cách thức., we get that simply to rotate the matrix by 180 degrees then we will have to print the given matrix in a reverse manner. C++
Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a000 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a001 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a002 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a004 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a007 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 9 8 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a007 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 9 8 7 6 5 4 3 2 15 9 8 7 6 5 4 3 2 16 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 9 8 7 6 5 4 3 2 19 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 11 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 14 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 15 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 10 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 14 9 8 7 6 5 4 3 2 11 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 16 9 8 7 6 5 4 3 2 11 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 18 9 8 7 6 5 4 3 2 11 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 10 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 12 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 14 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 16 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Java25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 19 #include 0
Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 #include 4 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 #include 6#include 7#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 #include 4 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a001 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a002 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 #define N 3 4Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a007 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 using 1using 2using 3using 4using 59 8 7 6 5 4 3 2 16 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a007 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 namespace 0using 2namespace 2using 44
Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 15 9 8 7 6 5 4 3 2 16 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0000 9 8 7 6 5 4 3 2 11 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0006 #include 4 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a001 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0009 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 Các Các Các 9 8 7 6 5 4 3 2 11 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 14 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Python3Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0042 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 #include 7#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0046 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0047 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0049 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0042 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0052 using 2#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0056 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0057 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 using 4Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0060 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0062 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0042 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0052 using 2#include 89 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0056 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0070 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 using 4Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0060 9 8 7 6 5 4 3 2 16 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0075 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0076 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 namespace 7Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 15 9 8 7 6 5 4 3 2 16 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0062 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0062 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0052 using 2#include 89 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0075 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0089 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0049 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0049 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0052 using 2#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0097 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0099 using 2___9 8 7 6 5 4 3 2 106 9 8 7 6 5 4 3 2 107 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0023 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0016 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0025 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0016 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0027 9 8 7 6 5 4 3 2 106 9 8 7 6 5 4 3 2 107 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0031 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0016 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0033___ 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 14 C#
9 8 7 6 5 4 3 2 124
Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 #include 4 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 #include 6#include 7#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 #include 4 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a001 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a002 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 #define N 3 4Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a007 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 using 1using 2using 3using 4using 59 8 7 6 5 4 3 2 16 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a007 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a008 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 namespace 0using 2namespace 2using 44
9 8 7 6 5 4 3 2 150 namespace 7Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 15 9 8 7 6 5 4 3 2 16 9 8 7 6 5 4 3 2 154 9 8 7 6 5 4 3 2 11 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0006 #include 4 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a001 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0009 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a003 9 8 7 6 5 4 3 2 168 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0021 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 18 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0021 9 8 7 6 5 4 3 2 172 9 8 7 6 5 4 3 2 11 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 14 Các Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Các9 8 7 6 5 4 3 2 178 Các Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0042 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 #include 7#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0046 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0047 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0049 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0042 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0052 using 2#include 8Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a005 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0056 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0057 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 using 4Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0060 9 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0062 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0042 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0052 using 2#include 89 8 7 6 5 4 3 2 11 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0056 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0070 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 using 4Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0060 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a006 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 17 9 8 7 6 5 4 3 2 16 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0075 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0076 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a0043 namespace 7Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 15 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 137 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 133 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 139 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 137 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 133 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 142 Matrix = a00 a01 a02 a10 a11 a12 a20 a21 a22 when we rotate it by 90 degree then matrix is Matrix = a02 a12 a22 a01 a11 a21 a00 a10 a20 when we rotate it by again 90 degree then matrix is Matrix = a22 a21 a20 a12 a11 a10 a02 a01 a002 9 8 7 6 5 4 3 2 183 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 15 Let the given matrix be 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 First we find transpose. 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 Then we reverse elements of every column. 4 8 12 16 3 7 11 15 2 6 10 14 1 5 9 13 then transpose again 4 3 2 1 8 7 6 5 12 11 10 9 16 15 14 13 Then we reverse elements of every column again 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 146 9 8 7
6 5 4
3 2 1 6Matrix = a00 a01 a02
a10 a11 a12
a20 a21 a22
when we rotate it by 90 degree
then matrix is
Matrix = a02 a12 a22
a01 a11 a21
a00 a10 a20
when we rotate it by again 90
degree then matrix is
Matrix = a22 a21 a20
a12 a11 a10
a02 a01 a00 62Matrix = a00 a01 a02
a10 a11 a12
a20 a21 a22
when we rotate it by 90 degree
then matrix is
Matrix = a02 a12 a22
a01 a11 a21
a00 a10 a20
when we rotate it by again 90
degree then matrix is
Matrix = a22 a21 a20
a12 a11 a10
a02 a01 a00 43 Matrix = a00 a01 a02
a10 a11 a12
a20 a21 a22
when we rotate it by 90 degree
then matrix is
Matrix = a02 a12 a22
a01 a11 a21
a00 a10 a20
when we rotate it by again 90
degree then matrix is
Matrix = a22 a21 a20
a12 a11 a10
a02 a01 a00 62Matrix = a00 a01 a02
a10 a11 a12
a20 a21 a22
when we rotate it by 90 degree
then matrix is
Matrix = a02 a12 a22
a01 a11 a21
a00 a10 a20
when we rotate it by again 90
degree then matrix is
Matrix = a22 a21 a20
a12 a11 a10
a02 a01 a00 52 using2#include |