# Matrix Rotation Clockwise by shifting one element at a time in Python 3

Matrix Rotation Clockwise is the rotation of a given matrix in the clockwise direction. Here, in this method, the elements of the matrix are shifted by one place in order to achieve the rotated matrix.

4 8 7 Let Matrix, A = 6 7 5 3 2 6

After Rotating the Matrix,

6 4 8 A = 3 7 7 2 6 5

The image below shows the number of cycles it takes to rotate the matrix in the given method.

Read more here:

Rotation matrix

Let’s take a look at the code snippet:

PROGRAM:

def rotateMatrix(mat): #clockwise rotation of matrix where each element is shifted by one place if not len(mat): return top = 0 bottom = len(mat)-1 left = 0 right = len(mat[0])-1 while(left < right and top < bottom): prev = mat[top+1][left] for i in range(left, right+1): curr = mat[top][i] mat[top][i] = prev prev = curr top += 1 for i in range(top, bottom+1): curr = mat[i][right] mat[i][right] = prev prev = curr right -= 1 for i in range(right, left-1, -1): curr = mat[bottom][i] mat[bottom][i] = prev prev = curr bottom -= 1 for i in range(bottom, top-1, -1): curr = mat[i][left] mat[i][left] = prev prev = curr left += 1 return mat n=int(input("Enter Number of Rows of Square Matrix:")) print("Enter Matrix Elements:") matrix=[] for i in range(n): l=[] for j in range(n): x=int(input()) l.append(x) matrix.append(l) print("The entered Matrix is:") for i in range(n): for j in range(n): print(matrix[i][j],end=" ") print() print("The Matrix after rotation:") matrix=rotateMatrix(matrix) for i in range(n): for j in range(n): print(matrix[i][j],end=" ") print()

OUTPUT 1:

Enter Number of Rows of Square Matrix:3 Enter Matrix Elements: 4 5 7 8 9 6 4 3 2 The entered Matrix is: 4 5 7 8 9 6 4 3 2 The Matrix after rotation: 8 4 5 4 9 7 3 2 6

OUTPUT 2:

Enter Number of Rows of Square Matrix:4 Enter Matrix Elements: 4 5 8 7 6 2 1 5 6 4 5 3 2 1 8 9 The entered Matrix is: 4 5 8 7 6 2 1 5 6 4 5 3 2 1 8 9 The Matrix after rotation: 6 4 5 8 6 4 2 7 2 5 1 5 1 8 9 3

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