(Algebra: multiply two matrices) Write a method to multiply two matrices. The header of the method is:

/*********************************************************************************
* (Algebra: multiply two matrices) Write a method to multiply two matrices. The  *
* header of the method is:                                                       *
*                                                                                *
* public static double[][] multiplyMatrix(double[][] a, double[][] b)            *
*                                                                                *
* To multiply matrix a by matrix b, the number of columns in a must be the same  *
* as the number of rows in b, and the two matrices must have elements of the same*
* or compatible types. Let c be the result of the multiplication. Assume the     *
* column size of matrix a is n. Each element cij is ai1 * b1j + ai2 * b2j + ...  *
* + ain * bnj.                                                                   *
*                                                                                *
* Write a test program that prompts the user to enter two 3 * 3 matrices and     *
* displays their product.                                                        *
*********************************************************************************/
import java.util.Scanner;

public class Exercise_08_06 {
	/** Main method */
	public static void main(String[] args) {
		// Initialize two 3 x 3 matrices
		double[][] matrix1 = getmatrix(1);
		double[][] matrix2 = getmatrix(2);

		// Initialize matrix3 with the multiplication of matrix1 and matrix2
		double[][] matrix3 = multiplyMatrix(matrix1, matrix2);

		// Display matrix1, matrix2 and matrix3
		print(matrix1, matrix2, matrix3);
	}

	/** getmatrix */
	public static double[][] getmatrix(int n) {
		// Create a Scanner
		Scanner input = new Scanner(System.in);

		// Prompt the user to enter a 3 x 3 matrix
		System.out.print("Enter matrix" + n + ": ");

		double[][] m = new double[3][3];
		for (int i = 0; i < 3; i++) {
			for (int j = 0; j < 3; j++)
				m[i][j] = input.nextDouble();
		}

		return m;
	}

	/** multiplyMatrix multiplies two matrices and returns the result */
	public static double[][] multiplyMatrix(double[][] a, double[][] b) {
		double[][] c = new double[3][3];

		for (int i = 0; i < c.length; i++) {
			for (int j = 0; j < c[i].length; j++) {
				for (int h = 0; h < c.length; h++) {
					c[i][j] += a[i][h] * b[h][j];
				}
			}
		}
		return c;
	}


	/** print displays all the elements in row r */
	public static void print(double[][] m, int r) {	
		for (int j = 0; j < m[r].length; j++) {
			System.out.printf("%5.1f", m[r][j]);
		}	
	}

	/** print displays results */
	public static void print(double[][] m1, double[][] m2, double[][] m3) {
		System.out.println("The matrices are added as follows");
		
		for (int i = 0; i < 3; i++) {
			print(m1, i);
			System.out.print((i == 1 ? "   * " : "     "));
			print(m2, i);
			System.out.print((i == 1 ? "   = " : "     "));
			print(m3, i);
			System.out.println();
		}
	}
}