(Algebra: add two matrices) Write a method to add two matrices. The header of the method is as follows: public static double[][] add Matrix(double[][] a, double[][] b) In order to be added, the two matrices must have the same dimensions and the same or compatible types of elements. Let c be the resulting matrix. Each element cij is aij + bij. Write a test program that prompts the user to enter two 3 * 3 matrices and displays their sum.

// Initialize two 3 x 3 matrices

int rows = 3;

int cols = 3;

double[][] matrix1 = new double[rows][cols];

double[][] matrix2 = new double[rows][cols];

// Prompt the user to enter a 3-by-3 matrix(Enter matrix 1 , Enter matrix 2)

......

//Print out

.......

public static double[][] addMartix(double[][] a, double[][] b){

........