Transposing a matrix is a process of exchanging rows with
columns of a matrix. In C, transposing a matrix can be performed using a nested
loop.
The following steps demonstrate how to transpose a matrix in
C:
First, we need to define the matrix that we want to
transpose. We can use a two-dimensional array for this purpose. For example,
the matrix "A" can be defined as:
int A[3][3] = { {1, 2, 3}, {4, 5, 6}, {7, 8, 9} };
Next, we can create another matrix "B" to store
the transposed matrix. We can use the same size as matrix A.
int B[3][3];
We can then use nested loops to iterate through the matrix A
and assign each element to the corresponding element in matrix B. We need to
swap the row and column indices while assigning the elements.
for (int i = 0; i < 3; ++i)
{
for (int j = 0; j < 3; ++j)
{
B[j][i] = A[i][j];
}
}
Finally, we can print the transposed matrix B using nested
loops.
printf("Transposed matrix:\n");
for (int i = 0; i < 3; ++i)
{
for (int j = 0; j < 3; ++j)
{
printf("%d ", B[i][j]);
}
printf("\n");
}
The above code will output the following transposed matrix:
1 4 7
2 5 8
3 6 9
In summary, transposing a matrix involves swapping the rows
and columns of a matrix. In C, we can use nested loops to perform the
transposition.
// c program to
find the transpose of a matrix OR c program to find transpose of a matrix
#include
<stdio.h>
int main() {
int matrix[10][10], transpose[10][10], row,
col;
printf("Enter the number of rows and
columns of the matrix: ");
scanf("%d %d", &row, &col);
printf("Enter the elements of the
matrix:\n");
for(int i=0; i<row; i++) {
for(int j=0; j<col; j++) {
scanf("%d", &matrix[i][j]);
}
}
printf("\nOriginal Matrix:\n");
for(int i=0; i<row; i++) {
for(int j=0; j<col; j++) {
printf("%d\t", matrix[i][j]);
}
printf("\n");
}
// Finding transpose of matrix
for(int i=0; i<row; i++) {
for(int j=0; j<col; j++) {
transpose[j][i] = matrix[i][j];
}
}
printf("\nTranspose of Matrix:\n");
for(int i=0; i<col; i++) {
for(int j=0; j<row; j++) {
printf("%d\t",
transpose[i][j]);
}
printf("\n");
}
return 0;
}
In this program, we take the input of a matrix from the user and then find its transpose by interchanging the rows and columns. Finally, we display both the original matrix and its transpose.
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