Example: Matrix Transposition in C

// Matrix Transposition
#include <stdio.h>

#define MAX_ROWS 10
#define MAX_COLS 10

int main() {
    int original[MAX_ROWS][MAX_COLS];
    int transpose[MAX_COLS][MAX_ROWS]; // Dimensions are swapped for the transpose
    int rows, cols, i, j;

    // Step 1: Get matrix dimensions from the user
    printf("Enter the number of rows and columns for the matrix (max %d x %d):\n", MAX_ROWS, MAX_COLS);
    if (scanf("%d %d", &rows, &cols) != 2 || rows <= 0 || cols <= 0 || rows > MAX_ROWS || cols > MAX_COLS) {
        printf("Invalid dimensions. Please enter positive values within limits.\n");
        return 1;
    }

    // Step 2: Input elements of the original matrix
    printf("Enter elements of the matrix:\n");
    for (i = 0; i < rows; i++) {
        for (j = 0; j < cols; j++) {
            printf("Enter element original[%d][%d]: ", i, j);
            if (scanf("%d", &original[i][j]) != 1) {
                printf("Invalid input. Please enter an integer.\n");
                return 1;
            }
        }
    }

    // Step 3: Print the original matrix
    printf("\nOriginal Matrix:\n");
    for (i = 0; i < rows; i++) {
        for (j = 0; j < cols; j++) {
            printf("%d\t", original[i][j]);
        }
        printf("\n");
    }

    // Step 4: Compute the transpose matrix
    // Rows of original become columns of transpose, and vice-versa
    for (i = 0; i < rows; i++) {
        for (j = 0; j < cols; j++) {
            transpose[j][i] = original[i][j];
        }
    }

    // Step 5: Print the transposed matrix
    printf("\nTransposed Matrix:\n");
    for (i = 0; i < cols; i++) { // Iterate up to original 'cols' for rows of transpose
        for (j = 0; j < rows; j++) { // Iterate up to original 'rows' for columns of transpose
            printf("%d\t", transpose[i][j]);
        }
        printf("\n");
    }

    return 0;
}