PROGRAMMING LANGUAGE: C++

Test Case . Incomplete Input / output test 1 Input 1 234 1 234 1234 5 678 5678 5678 8 9 8 9 8 9 8 9 Expected Output 80 80 90 90 90Performing Matrix Operations Instructions Design a class to perform various matrix operations. A matrix is a set of numbers arranged in rows and columns. Therefore, every element of a matrix has a row position and a column position. If A is a matrix of ve rows and six columns, we say that the matrix A is of the size 5 X 6. Clearly, a convenient place to store a matrix is in a two-dimensional array. Two matrices can be added and subtracted if they have the same size. Suppose A = [aij] and B = [bij] and are two matrices of the same size in *n in which a\" denotes the element of A in the ith row and thejth column. and so on. The sum and difference ofA and B are given by: A + B = [3\" + bu] A ' B = [3i] ' bu] The multiplication of A and B {A * B) is dened only if the number of columns of A is the same as the number of rows of B. If A is of the size m n and B is of the size nt. then A B = [c m] is of the size m t and the element c\"