This lab will focus on populating and traversing a two-dimensional array (matrix) Consider a 3 by 3 square containing values Vi to Vg as shown below; conveniently, these values can be represented using a matrix (two-dimensional array) Vi V2V3 A square is said to be row semi-magic if the values in each of the rows sum to the same value A square is said to be column semi-magic if the values in each of the columns sum to the same value A matrix is said to be magic if the matrix is semi-magic in terms of its rows and its columns. Complete the three corresponding methods that determine if the given matrix is column semi-magic, row semi- magic, and magic. You may not assume the input matrix has a particular number of sides. As a positive test example, use the following magic matrix We verify that the matrix is magic by noting that 8+3+4 7 2 15 =5+3+7 Implement a Matrix class with a matrix as an attribute and the necessary methods. The constructor should throw an exception if the input matrix is not square Also implement a Tester class that constructs and initializes a Matrix object and tests whether the matrix is magic