$3\mathrm{.}1$ You are given two matrices, each represented by a $2$D array. Your task is to write a Java program to add these two matrices and return the result. It must include a Java method named addMatrices that takes two parameters, matrix$1$ and matrix$2,$ both of type int$[][,$ representing the matrices to be added. The method should return a $2$D array representing the result of adding matrix$1$ and matrix$2.$ Your program should handle matrices of arbitrary dimensions but ensure that both input matrices have the same number of rows and columns. Write the addMatrices method with the following signature public static int$[][]$ addMatrices$($int$[][]$ matrix$1,$ int$[][]$ matrix$2)$

$(15$ Marks$)$