Question

To understand the value of counting loops:

1. Write a java program that implements matrix multiplication using counting loop constructs.
2. Then write the same program using only logical loops—for example, while loops.
3. Write 2 classes for each program

Sample Result is shown below:

Enter the number of rows of matrix A: 2

Enter the number of columns of matrix A: 3

Enter the number of columns of matrix B: 3

Enter the number of columns of matrix B: 4

Enter matrix A;

1 2 3

4 5 6

Enter matrix B:

7 8 9 10

11 12 13 14

15 16 17 18

Matrix A:

1 2 3

4 5 6

Matrix B:

7    8    9 10

11    12 13 14

15 16 17    18

Product of matrix A and Matrix B ( A x B) :

74 80 86 92

173 188 203    218   

Answer 1

Program:

import java.util.Scanner;

class Main

{

public static void main(String args[])

{

int rowSizeA,columnSizeA,rowSizeB,columnSizeB;

Scanner sc = new Scanner(System.in);

System.out.print("Enter the number of rows of matrix A: ");

rowSizeA = sc.nextInt();

System.out.print("Enter the number of columns of matrix A: ");

columnSizeA = sc.nextInt();

System.out.print("Enter the number of rows of matrix B: ");

rowSizeB = sc.nextInt();

System.out.print("Enter the number of columns of matrix B: ");

columnSizeB = sc.nextInt();

int A[][] = new int[rowSizeA][columnSizeA];

int B[][] = new int[rowSizeB][columnSizeB];

if (columnSizeA != rowSizeB){

System.out.println("The matrices can't be multiplied with each other.");

System.exit(0);

}

System.out.println("Enter matrix A:");

for (int i = 0; i < rowSizeA; i++)

{

for (int j = 0; j < columnSizeA; j++)

{

A[i][j] = sc.nextInt();

}

}

System.out.println("Enter matrix B:");

for (int i = 0; i < rowSizeB; i++)

{

for (int j = 0; j < columnSizeB; j++)

{

B[i][j] = sc.nextInt();

}

}

int C[][] = new int[rowSizeA][columnSizeB];

for (int i = 0; i < rowSizeA; i++)

{

for (int j = 0; j < columnSizeB; j++)

{

for (int k = 0; k < rowSizeB; k++)

{

C[i][j] = C[i][j] + A[i][k] * B[k][j];

}

}

}

System.out.println("Matrix A:");

for (int i = 0; i < rowSizeA; i++)

{

for (int j = 0; j < columnSizeA; j++)

{

System.out.print(A[i][j]+"\t");

}

System.out.println();

}

System.out.println("Matrix B:");

for (int i = 0; i < rowSizeB; i++)

{

for (int j = 0; j < columnSizeB; j++)

{

System.out.print(B[i][j]+"\t");

}

System.out.println();

}

System.out.println("Product of matrix A and Matrix B ( A x B) : ");

for (int i = 0; i < rowSizeA; i++)

{

for (int j = 0; j < columnSizeB; j++)

System.out.print(C[i][j]+"\t");

System.out.print("\n");

}

}

}

Output: