C Exercises: Transpose of a Matrix

Last update on July 31 2025 13:03:50 (UTC/GMT +8 hours)

22. Matrix Transpose

Write a program in C to find the transpose of a given matrix.

The task is to write a C program that computes the transpose of a given matrix. The program prompts the user to input the dimensions and elements of a matrix, calculates its transpose (where rows become columns and vice versa), and then displays both the original matrix and its transpose as output.

Visual Presentation:

Sample Solution:

C Code:

#include <stdio.h>

int main() {
    // Declare matrices and variables
    int arr1[50][50], brr1[50][50], i, j, r, c;

    // Display transpose of a matrix
    printf("\n\nTranspose of a Matrix :\n");
    printf("---------------------------\n");

    // Input the rows and columns of the matrix
    printf("\nInput the rows and columns of the matrix: ");
    scanf("%d %d", &r, &c);

    // Input elements in the first matrix
    printf("Input elements in the matrix:\n");
    for (i = 0; i < r; i++) {
        for (j = 0; j < c; j++) {
            printf("element - [%d],[%d] : ", i, j);
            scanf("%d", &arr1[i][j]);
        }
    }

    // Display the matrix
    printf("\nThe matrix is:\n");
    for (i = 0; i < r; i++) {
        printf("\n");
        for (j = 0; j < c; j++)
            printf("%d\t", arr1[i][j]);
    }

    // Transpose of the matrix
    for (i = 0; i < r; i++) {
        for (j = 0; j < c; j++) {
            // Assigning transposed values to the new matrix
            brr1[j][i] = arr1[i][j];
        }
    }

    // Display the transpose of the matrix
    printf("\n\nThe transpose of a matrix is : ");
    for (i = 0; i < c; i++) {
        printf("\n");
        for (j = 0; j < r; j++) {
            printf("%d\t", brr1[i][j]);
        }
    }
    printf("\n\n");

    return 0;
}

Sample Output:

Transpose of a Matrix :                                                                                       
---------------------------                                                                                   
                                                                                                              
Input the rows and columns of the matrix : 2 2                                                                
Input elements in the first matrix :                                                                          
element - [0],[0] : 1                                                                                         
element - [0],[1] : 2                                                                                         
element - [1],[0] : 3                                                                                         
element - [1],[1] : 4                                                                                         
                                                                                                              
The matrix is :                                                                                               
                                                                                                              
1       2                                                                                                     
3       4                                                                                                     
                                                                                                              
The transpose of a matrix is :                                                                                
1       3                                                                                                     
2       4

Flowchart:

For more Practice: Solve these Related Problems:

Write a C program to compute the transpose of a matrix and then add it to the original matrix.
Write a C program to transpose a matrix using pointer arithmetic.
Write a C program to compute the transpose of a matrix recursively.
Write a C program to compute the transpose of a non-square matrix and display both matrices.

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