transpose of a matrix code code example
Example 1: c program to perform transpose of a matrix
#include <stdio.h>
int main() {
int a[10][10], transpose[10][10], r, c, i, j;
printf("Enter rows and columns: ");
scanf("%d %d", &r, &c);
// Assigning elements to the matrix
printf("\nEnter matrix elements:\n");
for (i = 0; i < r; ++i)
for (j = 0; j < c; ++j) {
printf("Enter element a%d%d: ", i + 1, j + 1);
scanf("%d", &a[i][j]);
}
// Displaying the matrix a[][]
printf("\nEntered matrix: \n");
for (i = 0; i < r; ++i)
for (j = 0; j < c; ++j) {
printf("%d ", a[i][j]);
if (j == c - 1)
printf("\n");
}
// Finding the transpose of matrix a
for (i = 0; i < r; ++i)
for (j = 0; j < c; ++j) {
transpose[j][i] = a[i][j];
}
// Displaying the transpose of matrix a
printf("\nTranspose of the matrix:\n");
for (i = 0; i < c; ++i)
for (j = 0; j < r; ++j) {
printf("%d ", transpose[i][j]);
if (j == r - 1)
printf("\n");
}
return 0;
}
Example 2: what is the transpose of a matrix
The transpose of a matrix is just a flipped version of
the original matrix. We can transpose a matrix by switching
its rows with its columns. The original rows become the new columns
and the original columns become the new rows.
We denote the transpose of matrix A by AT.
For example:
1 2 3 1 4 7
A = 4 5 6 then AT = 2 5 8
7 8 9 3 6 9
Similarly if
B = 1 2 3 then BT = 1 4
4 5 6 2 5
3 6
Example 3: what is transpose of a matrix
The transpose of a matrix is simply a flipped version of
the original matrix. We can transpose a matrix by switching
its rows with its columns. We denote the transpose of matrix
A by AT. For example, if A=[123456] then the transpose of A is
AT=[142536].