in c$++$

$5$pts$]$ Write a MyMatrix class to represent a $2$x$2$ matrix that has $4$ private float members. There are many ways you

can define these variables such as using an array or a vector. However, it is recommended that you define a single

variable for each of the four numbers such as:

a$11$ a$12$

a$21$ a$22$

$2.[5$pts$]$ Add getters and setters for each private data member.

$3.[5$pts$]$ Implement a constructor to set the data members to valid values when an object is created. You should

implement a single overloaded constructor to take zero to four inputs with default values.

$4.[5$pts$]$ Implement a print method that prints the values of the matrix to the screen in the form: $[$a$11,$ a$12$; a$21,$ a$22].$

$5.[20$pts$]$ Write a main program that unit tests the getters, setters, constructor and print methods of your MyMatrix

class. Add comments to your program for each test. Your main program should have a comment block above the

main function. Your program should have enough unit tests to prove that your methods work correctly.

$6.[5$pts$]$ Implement a method to compute the matrix norm, i$.$e$.,$ the square root of the sum of squares of the matrix

elements. For example, if the Matrix object is A$,$ then A$.$norm$()$ returns the norm of the matrix. Add a comment block

for this function.

$7.[5$pts$]$ Implement an add method that takes another MyMatrix object as the input parameter, performs the matrix

addition and stores the result in the matrix object. For example, if the Matrix object is A$,$ then A$.$add$($B$)$ should

change the member variables of A to the result of A$+$B$.$