[Python] How can i do the transpose of a matrix in python? [duplicate]

I am making a function in python in which when taking a matrix A, it returns a matrix B with swapped rows and columns, example:

if i enter this matrix:

1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16


Should return

1 5 9 13
2 6 10 14
3 7 11 15
4 8 12 16


but what I get is:

array([[ 1, 5, 9, 13],
[ 5, 6, 10, 14],
[ 9, 10, 11, 15],
[13, 14, 15, 16]])


I don't understand why, could someone help me understand this error and how can I solve it?

my code:

def transpose(matrix):

for i in range(matrix.shape[0]):
for j in range(matrix.shape[1]):
matrix[j] = matrix[j]

return matrix


(I can't use default functions like transpose, I have to code)

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