Write a program (using functions) starting from directives to compute and display the transpose of a matrix of dimension m x n. [Note: Here, transpose of a matrix means the element at row r and column c in the original is placed at row c and column r of the transpose]. (Programming in C)

Answer:

#include <iostream>

#include <cstdlib>

using namespace std;

int m, n;

void transpose(int matrix[]){

  int transp[m][n];

  for (int i = 0; i < n; i++){

     for (int j = 0; j < m; j++){

        transp[j][i] = matrix[i][j];

        cout<< transp[j][i]<< " ";

     }

     cout<< "\n";

  }

}

int main(){

  cout<< "Enter the value for n: ";

  cin>> n;

  cout>> "Enter the value for m: ";

  cin>> m;

  int mymatrix[n][m];

  for (int i = 0; i < n; i++){

     for (int j = 0; j < m; j++){

        mymatrix[i][j] = (rand() % 50);

     }

  }

  transpose(mymatrix);

}

Explanation:

The C source code defined a void transpose function that accepts a matrix or a two-dimensional array and prints the transpose on the screen. The program gets user input for the row (n) and column (m) length of the arrays. The C standard library function rand() is used to assign random numbers to the array items.