Python Program to Transpose a Matrix

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Python Program to Transpose a Matrix
vinaykhatri

Vinay Khatri
Last updated on March 28, 2024

    There are several operations that we can perform on matrices. The transposition of a matrix is one such operation. The resulting matrix has interchanged rows and columns of the original one.

    Here in this article, we have provided a python Program to transpose a matrix with source code/ write a program to find the transpose of a matrix in python.

    Matrix and Transpose

    A matrix is a 2-dimensional array, which is formed by using columns and rows. Matrices are very useful in scientific computation. In Python, to represent a matrix, we use a list of lists . To transpose a matrix, we switch its row values with the column values.

    For instance,
    
    [
    [1,2,3],
    [4,5,6]
    [7,8,9]
    ]

    is a matrix, and for transposing it, we switch its row values with its column values i.e.:

    [
    [1,4,7]
    [2,5,8]
    [3,6,9]
    ]

    Prerequisite

    Steps for Transposing a Matrix

    • Ask the user to enter the number of rows and columns for a matrix.
    • Then using the list comprehension and input() function, ask the user to enter the elements in the matrix.
    • Create a result matrix, whose dimensions are the invert of the user-entered matrix dimensions. For instance, if the matrix has 2 rows and 3 columns then the resulting matrix (transpose) should have 3 rows and 2 columns.
    • Using the nested for loop, we will change the row values with the column values then store them into the resulting matrix.

    Python Program to Transpose a Matrix with Source Code/Python Transpose

    Source Code

    rows = int(input("Enter the Number of rows : " ))
    column = int(input("Enter the Number of Columns: "))
    
    print("Enter the elements of Matrix:")
    matrix= [[int(input()) for i in range(column)] for i in range(rows)]
    print("-------Your  Matrix is---------")
    for n in matrix:
        print(n)
    
    #result matrix of column*row  dimension
    
    result =[[0 for i in range(rows)] for j in range(column)]
    
    #transpose the matrix
    for r in range(rows):
       
       for c in range(column):
           #here we are grabbing the row data of matrix and putting it in the column on the result
           result[c][r] = matrix[r][c]
    
    print("Transpose matrix is: ")
    for r in result:
        print(r)

    Output 1:

    Enter the Number of rows : 3
    Enter the Number of Columns: 3
    Enter the elements of Matrix:
    1
    2
    3
    4
    5
    6
    7
    8
    9
    -------Your Matrix is---------
    [1, 2, 3]
    [4, 5, 6]
    [7, 8, 9]
    Transpose matrix is: 
    [1, 4, 7]
    [2, 5, 8]
    [3, 6, 9]

    Output 2

    Enter the Number of rows : 2
    Enter the Number of Columns: 4
    Enter the elements of Matrix:
    1
    2
    3
    4
    5
    6
    7
    8
    -------Your Matrix is---------
    [1, 2, 3, 4]
    [5, 6, 7, 8]
    Transpose matrix is: 
    [1, 5]
    [2, 6]
    [3, 7]
    [4, 8]

    Conclusion

    That was a simple Python program to generate the transpose of a matrix. It is just one of the many operations that we can perform on matrices. These include addition, subtraction, and multiplication. Matrices are very useful in programming, so building a good grasp of them is important.

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