Question

Language is C++

Basic principles and theory of structured programming in C++ by implementing the class: Matrix

Use these principles and theory to help build and manipulate instances of the class (objects), call member functions

Matrix class implementation from the main function file and, in addition, the Matrix class must have its interface(Matrix.h) in a separate file from its implementation (Matrix.cpp).

The code in the following files:

• matrix.h
• matrix.cpp
• matrixDriver.h

• Please use these file names exactly.

Summary

Create three files matrix.cpp and matrix.h . You will end up with matrix.h, matrix.cpp and matrixDriver.cpp.

Matrix Class Definition:

Class Account
Private Data Members: static int cnt const int maxRowSize=5 const int maxColSize =5 int row_size int col_size double matrix[maxRowSize][maxColSize]	Static data member used to count the number of Matrix objects created; The maximum row size of a Matrix object. The maximum column size of a Matrix object. Row size of matrix Column size of matrix The 2-Dimensional array representing the matrix.
Public Member Functions: Matrix() Matrix(int row, int column)	Constructors: Default Constructor (no parameters) –Maximum size of Matrix Overloaded Constructor: row and column size of matrix
Public Member Functions: void setRowSize(int x) void setColumnSize(int x) void addValue(double x) static int getCnt()	Function sets the row size of the matrix. Function sets the column size of the matrix . Populates Matrix object left to right / top to bottom. Returns the count of Matrix objects created
Public Member Functions: int getRowSize() int getColumnSize() void displayMatrix() double getValue(int row, int col)	Function returns the row size Function returns the column size Function displays the matrix on the console Function retrieves a value in matrix at position (row,col)
Public Member Functions: Matrix add(Matrix &other) Matrix substract(Matrix &other) Matrix product(Matrix &other) Matrix product(double scalar)	Operation for adding two matrices Operation for subtracting two matrices Operation for multiplying two matrices Operation for multiplying a scalar to a matrix

Main Program:

Create a program which demonstrates the following:

1. The sum of two matrixes with the same row and column size.
2. The sum of two matrices with different row or column size.
3. The difference of two matrices with the same row and column size.
4. The product of two matrices with the same row and column size.
5. The product of a matrix and a scalar value that is entered by the user.
6. Display the count of objects created after all the matrix objects are created using the getCnt( ) static member function

• Display The operands and the result of these operations.

• Use the random number generator to populate the matrices (add values between 1-10)
• NOTE: No non-constant global variables are to be used in the program

This is all information given for this homework assignment

The interface is Class and Data Abstraction

Answer 1

#include<iostream.h>

#include<conio.h>

#include<math.h>

class matrix

{

public:

int a[50][50],b[50][50],c[50][50],i,j,m,n,p,q,k;

void summetrix()

{

cout<<"enter the first metrix elements"

for(i=1;i<2;i++)

for(j=1;j<2;j++)

cin>>a[i][j];

cout<<"enter the elements of second metrix";

for(i=1;i<2;i++)

for(j=1;j<2;j++)

cin>>b[i][j];

for(i=1;i<2;i++)

for(j=1;j<2;j++)

c[i][j]=a[i][j]+b[i][j];

for(i=1;i<2;i++)

for(j=1;j<2;j++)

cout<<c[i][j];

}

void sumMetrix(int row,int col)

{

p=row;

q=col;

for(i=1;i<p;i++)

for(j=1;j<q;j++)

cin>>a[i][j];

for(i=1;i<p;i++)

for(j=1;j<q;j++)

cin>>b[i][j];

for(i=1;i<p;i++)

for(j=1;j<q;j++)

c[i][j]=a[i][j]+b[i][j];

for(i=1;i<p;i++)

for(j=1;j<q;j++)

cout<<c[i][j];

}

void main()

{

matrix m;

m.summetrix();

m.sumMetrix(3,2);

m.submetrix();

m.mulmetrix();

getch();

}

void submetrix()

{

cout<<"enter the first metrix elements"

for(i=0;i<2;i++)

for(j=0;j<2;j++)

cin>>a[i][j];

cout<<"enter the elements of second metrix";

for(i=0;i<2;i++)

for(j=0;j<2;j++)

cin>>b[i][j];

for(i=0;i<2;i++)

for(j=0;j<2;j++)

c[i][j]=a[i][j]-b[i][j];

for(i=0;i<2;i++)

for(j=0;j<2;j++)

cout<<c[i][j];

}

void mulmetrix()

{

cout<<"enter the first metrix elements"

for(i=0;i<2;i++)

for(j=0;j<2;j++)

cin>>a[i][j];

cout<<"enter the elements of second metrix";

for(i=0;i<2;i++)

for(j=0;j<2;j++)

cin>>b[i][j];

for(i=0;i<2;i++)

for(j=0;j<2;j++)

c[i][j]=0;

for(k=1;k<=2;k++)

{

c[i][j]=c[i][j]+a[i][k]*b[k][j];

}

for(i=0;i<2;i++)

for(j=0;j<2;j++)

cout<<c[i][j];

}