Write a Java program for a $2$x$2$ matrix, the program will be using methods to add $2$

matrices and find the inverse of a matrix. Submit the program with format

LastnameFirstnameHW$2.$java

$1-$ Create Method with no parameters: that prompts the user to input values for a

$2$x$2$ matrix.

It initializes a $2$x$2$ matrix and assigns values to it based on user input. Method

Returns a matrix$[][].$

$2-$ Create Display Method NO return value: Takes a $2$D array $($matrix$)$ as an

argument and prints its elements in matrix form.

$3-$ Create addition Matrix Method: that Takes two $2$D arrays $($matrices$)$ as

arguments.

Adds corresponding elements of the matrices and stores the result in a new

matrix. Method returns the resulting matrix$[][].$

$4-$ Create the inverse matrix Method that will return a matrix$[][]$: Takes a $2$D array

$($matrix$)$ as an argument.

Declare a boolean variable assign to true

Calculates the inverse of the $2$x$2$ matrix using the formula for the inverse of a

$2$x$2$ matrix:

Swaps the diagonal elements.

Negates the off$-$diagonal elements.

Calculates the determinant

Calculate the reciprocal of the determinant

A temporary variable temp is declared for swapping elements.