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, MatrixTranspose 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 AT.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.
Bij = Aji (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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