Shaddy-Ethical-hacking: A C PROGRAM TO MULTIPLY TWO MATRIX AND DISPLAY THE RESULT

MATRIX MULTIPLICATION :

In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. The individual items in a matrix are called its elements or entries. An example of a matrix with 2 rows and 3 columns is

$\begin{bmatrix}1 & 9 & -13 \\20 & 5 & -6 \end{bmatrix}.$

Matrices of the same size can be added or subtracted element by element. But the rule for matrix multiplication is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second.
A matrix is a rectangular array of numbers or other mathematical objects, for which operations such as addition and multiplication are defined

Matrices are commonly written in box brackets:

$\mathbf{A} = \begin{bmatrix} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{m1} & a_{m2} & \cdots & a_{mn} \end{bmatrix}.$

THE PROGRAM IS :

#include<stdio.h>
#include<conio.h>
void main()
{
int a[10][10],b[10][10],c[10][10],i,j,k,m,n,p,q;
printf("Enter the size of the matrix A \n");
scanf("%d%d",&m,&n);
printf("Enter the size of the matrix B \n");
scanf("%d%d",&p,&q);
if(n!=p)
{
    printf("Matrix multiplication is not possible \n");
}
else
{
    printf("Enter the elements of matrix A \n");
    for(i=0;i<m;i++)
    {
        for(j=0;j<n;j++)
        {
            scanf("%d",&a[i][j]);
        }
    }
    printf("Enter the elements of matrix B \n");
    for(i=0;i<p;i++)
    {
        for(j=0;j<q;j++)
        {
            scanf("%d",&b[i][j]);
        }
    }
    for(i=0;i<m;i++)
    {
        for(j=0;j<q;j++)
        {
            c[i][j]=0;
            for(k=0;k<n;k++)
            {
                c[i][j]=c[i][j]+a[i][k]*b[k][j];
            }
        }
    }
    printf("Matrix A is \n");
    for(i=0;i<m;i++)
    {
        for(j=0;j<n;j++)
        {
            printf(" %d ",a[i][j]);
        }
        printf("\n");
    }
    printf("The Matrix B is \n");
    for(i=0;i<p;i++)
    {
        for(j=0;j<q;j++)
        {
            printf(" %d ",b[i][j]);
        }
        printf("\n");
    }
    printf("The resultant matrix is \n");
        for(i=0;i<m;i++)
        {
            for(j=0;j<q;j++)
            {
                printf(" %d ",c[i][j]);
            }
            printf("\n");
        }
}
getch();
}