# Write a Program to Find the Transpose of a Matrix

Explanation

Transposing a matrix is also known as flipping a matrix where rows become columns and columns become rows,

In other words, lets M[a][b] is a matrix and Transpose of it is M[b][a].

Where,

• a indicates the rows of the matrix
• b indicates the number of columns in the matrix

For Example:

This question was asked in the Zoho interview.

by solving this problem, you will also learn about multidimensional array. Check list of coding questions on Array.

#### Algorithm

1. Start the Program
2. Declare the Matrix variables
3. Get the input for the matrix using loops
4. Perform the transpose operation ( Similar to swapping)
5. Print the Transpose of the Matrix.
6. End the Program

#### C/C++ Program

Prerequisites:

Code:

You can execute this program using our CSEstack online IDE.

```#include<stdio.h>

int main()
{
int a[3][2],b[2][3], i, j;

//take user input
printf("Enter value for matrix: ");
for(i=0;i<3;i++)
{
for(j=0;j<2;j++)
scanf("%d",&a[i][j]);
}

//print origional matrix
printf("Matrix:\n");
for(i=0;i<3;i++)
{
for(j=0;j<2;j++)
printf(" %d ",a[i][j]);
printf("\n");
}

//find the transpose of the matrix
for(i=0; i<3; i++)
{
for(j=0; j<2; j++)
b[j][i] = a[i][j];
}

//print transposed matrix
printf("Transpose matrix:\n");
for(i=0; i<2; i++)
{
for(j=0; j<3; j++)
printf(" %d ", b[i][j]);
printf("\n");
}

return 0;
}
```

Output:

```Enter value for matrix:

Matrix:
1  2
3  4
5  6

Transpose matrix:
1  3  5
2  4  6 ```

Just like any for loop, you can also use the while or do-while loop to solve this problem.

You can also this program to find the transpose of a matrix in any other programming language as C/C++, Java or Python. Give it a try.