In Java Implement a class Matrix that represents a matrix of the form

Your class should support the following operations:

Constructs a matrix with a given number of rows and columns.

Gets and sets the element at a particular row and column position.

Adds and multiplies two compatible matrices. (You may need to look up the definition for matrix addition and multiplication in a linear algebra book or on the Web.)

As the internal representation, store the elements in a two-dimensional array

private double[][] elements;

In the constructor, initialize the array as

elements = new double[r][c];

Then you can access the element at row i and column j as elements[i][j]