Programming Language: C++ Performing Matrix OperationsInstructionsDesign a class to perform various matrix operations. A matrix is a set of numbers arranged in rowsand columns. Therefore, every element of a matrix has a row position and a column position. If A isa matrix of five rows and six columns, we say that the matrix A is of the size 5 X 6. Clearly, aconvenient place to store a matrix is in a two-dimensional array. Two matrices can be added andsubtracted if they have the same size. Suppose A = [aj] and B = [b] and are two matrices of thesame size m *n in which aj denotes the element of A in the i th row and the jth column, and so on.The sum and difference of A and B are given by:A + B = [aj + bij]A -B = [aj - bj]The multiplication of A and B (A * B) is defined only if the number of columns of A is the same asthe number of rows of B. If A is of the size m n and B is of the size n t, then A B = [c ik ] is of the sizemt and the element cik is given by the formula:Cik = ajbik + ajzb2k + ... + ainbnkDesign and implement a class matrixType that can store a matrix of any size. Overload theoperators +, - , and * to perform the addition, subtraction, and multiplication operations,respectively, and overload the operator << to output a matrix. Also, write a test program to testvarious operations on the matrices. Test CaseIncompleteInput / output test 1Input1 2 3 41 2 3 41 2 3 45 6 7 85 6 7 85 6 7 88 98 98 98 9Expected Output O80 80 | 80 90 | 90 | 90

Code: #include <bits/stdc++.h>using namespace std;//class Matrix_Typeclass Matrix_Type{…

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. 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¡] and are two matrices of the same size m*n in which aj denotes the element of A in the i th row and the j th column, and so on. The sum and difference ofA and B are given by: A +B = [aj + bij] A -B = [aj - bij]

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. 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¡] and are two matrices of the same size m*n in which aj denotes the element of A in the i th row and the j th column, and so on. The sum and difference ofA and B are given by: A +B = [aj + bij] A -B = [aj - bij]

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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