Design a class to perform various matrix operations. A matrix is a set of number

Question

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 five rows and six columns, we say that the matrix A is of the size 5x6 and sometimes denote it as A5x6. 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] are two matrices of the size m x n, in which aij denotes the element of A in the ith row and the jth column, and so on. The sum, difference, increment and decrement are given by:

A + B = [aij + bij]
A - B = [aij - bij]
A++ or ++A= [aij+1]

Explanation / Answer

(a) for (int i = 1; i

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