Write a C program that does the following matrix operation: . For example, given

Question

Write a C program that does the following matrix operation: . For example, given 2*2 matrix A and matrix B, is defined as follows:

In the main function do the following:

Declare 3 4*4 2-D integer arrays (A, B, and Result)

Get the dimension of the 2 matrices from the user (same size for both A and B, they are all square matrices)

Get the values of the 2 matrices from the user, 1 row at a time

Call function printMatrix to print matrix A

Call function printMatrix to print matrix B

Call function matrixMultiplicationto compute AxB, the result is put in matrixResult

Call function printMatrix to print matrix Result

Function prototypes are given as follows:

Void printMatrix (int [][4], int dimension);

Void matrixMultiplication(int result[][4], int a[][4], int b[][4], int dimension);

Explanation / Answer

#include<stdio.h>
#include<stdlib.h>
#include<string.h>

void printMatrix(int A[][4],int size);
void matrixMultiplication(int result[][4], int a[][4], int b[][4], int dimension);
int main(){
        int size;
        printf("please enter the size of array ");
        scanf("%d",&size);
        int A[size][size],B[size][size],result[size][size];
        int i,j;
        printf("enter the values of first matrix ");
        for ( i = 0 ; i < size; i++)
                for( j = 0 ; j < size ;j++)
                        scanf("%d",&A[i][j]);
        printf("enter the values of second matrix ");
        for ( i = 0 ; i < size; i++)
                for( j = 0 ; j < size ;j++)
                        scanf("%d",&B[i][j]);
        printf("printing A ");
        printMatrix(A,size);
        printf("printing B ");
        printMatrix(B,size);
        matrixMultiplication(result,A,B,size);
        printf("printing result ");
        printMatrix(result,size);
}

//printMatrix function
void printMatrix(int A[][4],int size){
        // declare i and j
        int i,j;
        // loop for size times ( iterate over rows
        for ( i = 0 ; i < size; i++){
                // loop for size times ( iterate over columns
                for( j = 0 ; j < size ;j++)
                        // print A[i][j]
                        printf("%4d   ",A[i][j]);
                printf(" ");
        }
}


// matrix Multiplication
void matrixMultiplication(int result[][4], int a[][4], int b[][4], int size){
        // declare i ,j and k
        int i,j,k;
        printf("Multiplication of the Matrices: ");
        //loop for size times ( iterate over rows
        for(i=0;i<size;i++)
        {
                //loop for size times ( iterate over columns
            for(j=0;j<size;j++)
            {
                result[i][j]=0;
                for(k=0;k<size;k++)
                        // multiply the two components
                    result[i][j] += a[i][k] * b[k][j];
            }
        }
}

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