Question

Program to find product of two matrices
Two matrices can be multiplied if and only if The number of columns present in the first matrix should be equal to the number of rows present in the second matrix.

				
					Matrix A = [9, 8, 7]
          [6, 5, 4]
          [3, 2, 1]
          

Matrix B = [1, 2, 3]
           [4, 5, 6]
           [7, 8, 9]

PRODUCT OF TWO  MATRICES 
90  114  138
54  69   84
18  24   30

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Code

				
					import java.util.Scanner;
public class ProductOfTwoMatrices 
{  
    public static void main(String[] args)
    {  
        int row=0, col=0,rowb=0,colb=0,i=0,j=0,k=0;  
        int a[][],b[][],product[][];
        boolean flag=true;
        
        Scanner sc=new Scanner(System.in);
        System.out.println("ENTER THE ROW OF MATRIX A");
        row=sc.nextInt();
        System.out.println("ENTER THE COLUMN OF MATRIX A");
        col=sc.nextInt();
        System.out.println("ENTER THE ROW OF MATRIX B");
        rowb=sc.nextInt();
        System.out.println("ENTER THE COLUMN OF MATRIX B");
        colb=sc.nextInt();
        
        if(col!=rowb)
        {
            System.out.println("MATRICES CANNOT BE MULTIPLIED");
        }
        
        else
        {
            a=new int[row][col];
            System.out.println("ENTER THE ELEMENTS IN MATRIX A");
            for(i=0;i< row;i++)
            {
                for(j=0;j< col;j++)
                {
                    a[i][j]=sc.nextInt();
                }
            }
            
            b=new int[rowb][colb];
            System.out.println("ENTER THE ELEMENTS IN MATRIX B");
            for(i=0;i< rowb;i++)
            {
                for(j=0;j< colb;j++)
                {
                    b[i][j]=sc.nextInt();
                }
            }
        
            product=new int[row][colb];
            for(i=0;i< row;i++)
            {
                for(j=0;j< col;j++)
                {
                    for(k=0;k< rowb;k++)
                    {
                       product[i][j]=product[i][j]+ a[i][k] * b[k][j];
                    }
                    
                }
            }
            System.out.println("Product of two matrices: ");    
            for(i = 0; i < row; i++)
            {    
                for(j = 0; j < colb; j++)
                {    
                   System.out.print(product[i][j] + " ");    
                }  
                System.out.println();
            }
        }
        
    }  
}