To
understand this example, you should have the knowledge of the following C programming topics:
· C Arrays
The transpose of a matrix is a new matrix
that is obtained by exchanging the rows and columns.
In this program, the user is
asked to enter the number of rows r and columns c. Their values should be
less than 10 in this program.
Then, the user is asked to enter
the elements of the matrix (of order r*c
).
The
program below then computes the transpose of the matrix and prints it on the
screen.
Program to Find
the Transpose of a Matrix
#include <stdio.h>
int main() {
int a[10][10], transpose[10][10], r, c;
printf("Enter rows and columns: ");
scanf("%d %d", &r, &c);
// asssigning elements to the matrix
printf("\nEnter matrix elements:\n");
for (int i = 0; i < r; ++i)
for (int j = 0; j < c; ++j) {
printf("Enter element a%d%d: ", i + 1, j + 1);
scanf("%d", &a[i][j]);
}
// printing the matrix a[][]
printf("\nEntered matrix: \n");
for (int i = 0; i < r; ++i)
for (int j = 0; j < c; ++j) {
printf("%d ", a[i][j]);
if (j == c - 1)
printf("\n");
}
// computing the transpose
for (int i = 0; i < r; ++i)
for (int j = 0; j < c; ++j) {
transpose[j][i] = a[i][j];
}
// printing the transpose
printf("\nTranspose of the matrix:\n");
for (int i = 0; i < c; ++i)
for (int j = 0; j < r; ++j) {
printf("%d ", transpose[i][j]);
if (j == r - 1)
printf("\n");
}
return 0;
}
Output
Enter rows and columns: 2
3
Enter matrix elements:
Enter element a11: 1
Enter element a12: 4
Enter element a13: 0
Enter element a21: -5
Enter element a22: 2
Enter element a23: 7
Entered matrix:
1 4 0
-5 2 7
Transpose of the matrix:
1 -5
4 2
0 7
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