Question
Write a Java program to perform multiplication of two matrices. Define appropriate classes, constructors, and methods to perform matrix multiplication operations. Include necessary validations to check if matrix multiplication is possible
Answer :
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# Java Program to Perform Multiplication of Two Matrices Matrix multiplication is an important operation in Java programming and is commonly implemented using two-dimensional arrays. For multiplying two matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. If the first matrix has dimensions `m × n` and the second matrix has dimensions `n × p`, their product matrix will have dimensions `m × p`. Therefore, checking the dimensions of the matrices before performing multiplication is an essential validation. The following Java program defines a `Matrix` class with appropriate constructors and methods for accepting matrix elements, displaying a matrix, validating multiplication compatibility, and performing matrix multiplication. ```java import java.util.Scanner; class Matrix { private int rows; private int columns; private int[][] data; // Constructor Matrix(int rows, int columns) { if (rows <= 0 || columns <= 0) { throw new IllegalArgumentException( "Rows and columns must be greater than zero." ); } this.rows = rows; this.columns = columns; data = new int[rows][columns]; } // Method to input matrix elements void inputMatrix(Scanner sc) { System.out.println("Enter matrix elements:"); for (int i = 0; i < rows; i++) { for (int j = 0; j < columns; j++) { System.out.print("Element [" + i + "][" + j + "]: "); data[i][j] = sc.nextInt(); } } } // Method to display matrix void displayMatrix() { for (int i = 0; i < rows; i++) { for (int j = 0; j < columns; j++) { System.out.print(data[i][j] + "\t"); } System.out.println(); } } // Method to check whether multiplication is possible boolean canMultiply(Matrix other) { return this.columns == other.rows; } // Method to multiply two matrices Matrix multiply(Matrix other) { if (!canMultiply(other)) { throw new IllegalArgumentException( "Matrix multiplication is not possible." ); } Matrix result = new Matrix(this.rows, other.columns); for (int i = 0; i < this.rows; i++) { for
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