Write a program in python to transpose a matrix and print it.

Example:

matrix    =   [[1,2,3],
               [4,5,6]]

transpose =   [[1,4],
               [2,5],
               [3,6]]

In python, we represent a matrix using a nested list. For example matrix = [[1,2,3],[4,5,6]] represent a matrix of order 2×3, in which matrix[i][j] is the matrix element at ith row and jth column.

To transpose a matrix we have to interchange all its row elements into column elements and column elements into row elements.

To do that we first need to initialize a transpose matrix of order columnsXrows (of the original matrix) with zero, then loop through each element of the original matrix and assign the element to the transpose matrix as transpose[j][i] = matrix[i][j]

Let’s see the source code in python to transpose a matrix.

matrix    =   [[1,2,3],
               [4,5,6]]

transpose =   [[0,0],
               [0,0],
               [0,0]]
               
for i in range(len(matrix)):
    for j in range(len(matrix[0])):
        transpose[j][i] = matrix[i][j]
        
print(transpose)

Output

[[1, 4], [2, 5], [3, 6]] 

In the above program len(matrix) is the number of rows and len(matrix[0]) is the number of columns in the matrix.

If you have any doubts or suggestions then please comment below.

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