Given the Die class:

public class Die {

private int face;

public Die(int x) {

face=x;

}

public void setFace(int f) {

face = f;

}

public int getface() {

return face;

}

}

1. Write a class named Matrix that:

• has a data named array, which is a two dimensional square array of Die objects, i.e., both rows and columns are the same number.
• a constructor, which takes an integer parameter named size representing the arrays dimensions, and initializes all the elements of the array to dice with face=1, except for the main diagonal (the row and column indices are the same) to dice with face=5.
• an equals method that checks whether the object is equal to another Matrix object.

2. Write a Java application named TestMatrix that instantiates two objects of the Matrix class and checks whether the two objects are equal.