Python Program to find transpose of a matrix

Transpose of a matrix is obtained by changing rows to columns and columns to rows. In other words, transpose of A[][] is obtained by changing A[i][j] to A[j][i].

matrix-transpose

For Square Matrix :

The below program finds transpose of A[][] and stores the result in B[][], we can change N for different dimension.

# Python3 Program to find 
# transpose of a matrix 
  
N = 4
   
# This function stores 
# transpose of A[][] in B[][] 
  
def transpose(A,B): 
  
    for i in range(N): 
        for j in range(N): 
            B[i][j] = A[j][i] 
  
# driver code 
A = [ [1, 1, 1, 1], 
    [2, 2, 2, 2], 
    [3, 3, 3, 3], 
    [4, 4, 4, 4]] 
   
   
B = A[:][:] # To store result 
  
transpose(A, B) 
   
print("Result matrix is") 
for i in range(N): 
    for j in range(N): 
        print(B[i][j], " ", end='') 
    print() 
      
# This code is contributed by Anant Agarwal. 

Output:

Result matrix is
1  2  3  4  
2  2  3  4  
3  3  3  4  
4  4  4  4

For Rectangular Matrix :

The below program finds transpose of A[][] and stores the result in B[][].

# Python3 Program to find 
# transpose of a matrix 
  
M = 3
N = 4
  
# This function stores 
# transpose of A[][] in B[][] 
  
def transpose(A, B): 
  
    for i in range(N): 
        for j in range(M): 
            B[i][j] = A[j][i] 
  
# driver code 
A = [ [1, 1, 1, 1], 
    [2, 2, 2, 2], 
    [3, 3, 3, 3]] 
  
  
# To store result 
B = [[0 for x in range(M)] for y in range(N)]  
  
transpose(A, B) 
  
print("Result matrix is") 
for i in range(N): 
    for j in range(M): 
        print(B[i][j], " ", end='') 
    print()     

Output:

Result matrix is
1  2  3  
1  2  3  
1  2  3  
1  2  3

In-Place for Square Matrix:

# Python3 Program to find 
# transpose of a matrix 
  
N = 4
   
# Finds transpose of A[][] in-place 
def transpose(A): 
  
    for i in range(N): 
        for j in range(i+1, N): 
            A[i][j], A[j][i] = A[j][i], A[i][j] 
  
# driver code 
A = [ [1, 1, 1, 1], 
    [2, 2, 2, 2], 
    [3, 3, 3, 3], 
    [4, 4, 4, 4]] 
   
transpose(A) 
   
print("Modified matrix is") 
for i in range(N): 
    for j in range(N): 
        print(A[i][j], " ", end='') 
    print() 
      
# This code is contributed by Anant Agarwal. 

Output:

Modified matrix is
1  2  3  4  
1  2  3  4  
1  2  3  4  
1  2  3  4

Please refer complete article on Program to find transpose of a matrix for more details!

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