Rotate a matrix in Python

Rotate a matrix in Python:-

firstly rotating a matrix in Python involves in transforming the rows into columns. Inorder to rotate a matrix in python we have to do two tasks that is

1) Transpose the matrix

2) Reversing the rows

firstly we have to do that in a transposition each element at position $(i,j)$ in the original matrix is moved to position $(j,i)$ in the new matrix. This means that rows become columns.

We initialize an empty list transposed_matrix to hold the transposed version of the original matrix.

We loop through each column index i of the original matrix.

For each column index i, we create a new row by collecting the elements from each row j at column i.

This new row is appended to transposed_matrix.

Then we have to reverse Each Row of the Transposed Matrix then After transposing, each row is reversed to complete the 90-degree rotation. After the matrix is transposed, we iterate through each row in transposed_matrix and reverse it in place using the reverse() method. the original matrix is effectively rotated 90 degrees clockwise. This method can be generalized and applied to any $n\times n$ matrix.

first step is:-Transpose the matrix

def rotate_matrix(matrix):
transposed_matrix = []
for i in range(len(matrix[0])):
transposed_row = []
for j in range(len(matrix)):
transposed_row.append(matrix[j][i])
transposed_matrix.append(transposed_row)

Second step is:-Reverse each row in the transposed matrix
for row in transposed_matrix:
row.reverse()
return transposed_matrix

rotated_matrix = rotate_matrix(matrix)
for row in rotated_matrix:
print(row)