Write a C program to read elements in a matrix and find transpose of the given matrix. How to find transpose of a given matrix in C.

1 2 3

4 5 6

7 8 9

Then its transpose is :

1 4 7

2 5 8

3 6 9

Step 1: Read elements in matrix

Step 2: For each element in matrix

Happy coding ;)

**Example:**If elements of the matrix are:1 2 3

4 5 6

7 8 9

Then its transpose is :

1 4 7

2 5 8

3 6 9

### Required knowledge:

Basic C programming, For loop, Array, Matrix#### Transpose of a matrix:

Transpose of a matrix**A**is defined as converting all rows into columns and columns into rows. Transpose of a matrix**A**is written as**A**^{T}.### Algorithm to find transpose of a matrix:

To find transpose of a matrix**A**.Step 1: Read elements in matrix

**A**Step 2: For each element in matrix

**A**.**B**_{ij}=**A**_{ji}(Where 1 ≤ i ≤ m and 1 ≤ j ≤ n).### Program:

/** * C program to find transpose of a matrix */ #include <stdio.h> int main() { int A[3][3], B[3][3]; int row, col; /* * Reads elements in matrix A from user */ printf("Enter elements in matrix of size 3x3: \n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { scanf("%d", &A[row][col]); } } /* * Finds the transpose of matrix A */ for(row=0; row<3; row++) { for(col=0; col<3; col++) { /* Stores each row of matrix A to each column of matrix B */ B[row][col] = A[col][row]; } } /* * Prints the original matrix A */ printf("\nOriginal matrix: \n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { printf("%d ", A[row][col]); } printf("\n"); } /* * Prints the transpose of matrix A */ printf("Transpose of matrix A: \n"); for(row=0; row<3; row++) { for(col=0; col<3; col++) { printf("%d ", B[row][col]); } printf("\n"); } return 0; }

Output

Enter elements in matrix of size 3x3:

1 2 3

4 5 6

7 8 9

Original matrix:

1 2 3

4 5 6

7 8 9

Transpose of matrix A:

1 4 7

2 5 8

3 6 9

1 2 3

4 5 6

7 8 9

Original matrix:

1 2 3

4 5 6

7 8 9

Transpose of matrix A:

1 4 7

2 5 8

3 6 9

Happy coding ;)

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