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 5 x 6 and sometimes denote it as A 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 = [a,]and B = [b,] are two matrices of the size m X n, in which a, denotes the element of A in the ith row and the jth column, and so on. The sum and difference of A and B are given by: 5x6 A +B = [a, + b,] A - B = [a, – b,] The multiplication of A and B (A • B) is defined 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 X n and B is of the size n X t, then A • B = [c,) is of the size m X t and the element c, is given by the formula: Design and implement a class matrixType that can store a matrix of any size. Overload the operators +, -, and • to perform the addition, subtraction, and multiplication operations, respectively, and overload the operator << to output a matrix. Also, write a test program to test various operations on the matrices.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 24PE

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unsing c++ programming language ::

Program for Matrix + and - operations

using overloading and template please

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 5 x 6 and sometimes denote it as A 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 = [a;]and
B = [b,] are two matrices of the size m × n, in which a, denotes the
element of A in the ith row and the jth column, and so on. The sum and
difference of A and B are given by:
5x6
A +B = [a, + b;]
A - B = [a; – b ]
%3D
The multiplication of A and B (A • B) is defined 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 X n and B is of the size n X t, then A * B = [c,] is of the size
m x t and the element c, is given by the formula:
C = a,bk + apb; + ... + a„buk
Design and implement a class matrixType that can store a matrix
of any size. Overload the operators +, -, and + to perform the addition,
subtraction, and multiplication operations, respectively, and overload
the operator << to output a matrix. Also, write a test program to test
various operations on the matrices.

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