Question

Please code in C++.

3. Submit a header file (project3.h), a definition file (project3.cpp), a main file (main.cpp), and a makefile to compile them together. Make sure to run the command make and produce an application file and include it with your submission. For this project, you are required to create a Matrix object and overwrite the +, -, and * operators to implement addition, subtraction and multiplication), respectively. You will also be overwriting the >> and << stream operators to display and populate the matrix. The semantics of joint operators, such as +=, -=, and = must also be valid and perform the operations as expected for a base data type in C/C++ i.e. + and-are associative and commutative and is only associative but not commutative. Also, note that object instantiation and creation may also occur using the assignment operator = The determinant, transpose, inverse functions, implemented in your previous projects, should be refactored into the Matrix object implementation. That is, they should be included as public member functions to your Matrix object. As previously specified, you should initialize all the matrix elements to 0 by default. The reshape and resize should also be included as member function of your Matrix class. You should reshape your matrix to change the number of rows and columns arbitrarily, with the constraint that the number of elements stays constant. For example, you can resize a (3,2) matrix to (6,1) or (2,3). You should also have another function to resize your matrix. That is, to add columns and rows. For example, you should be able to change a (3,2) matrix to a (5,3) matrix, where the new row-column pairs are set to zero. Reshape 1 3980 98 8 878 1 3980 3980 Reshape 887 1 3980 % Reshape 98 8 98

link to continue the code is this below or you can make your own code if you wish(fix any mistakes if you think there are any in it):

cpp.sh/3qcekv

Answer 1

#include<iostream>
#include<stdlib.h>
#include<string.h>
#define s 20
using std::cout;
using std::cin;
using std::endl;

class matrix
{
public:
int a[s][s],x,y;
  void get();
void put();
void inverse();
void determinant();
void resize(int row, int column) ;
matrix operator+(matrix);
matrix operator-(matrix);
matrix operator*(matrix);
matrix transpose();
};

#include "matrix.h"
#include <iostream>
#include <cassert>

void matrix::get()
{
cout<<"Enter the order of Matrix "<<" :\n";
cin>>x>>y;
cout<<"Enter the Matrix "<<" :\n";
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
cin>>a[i][j];

}
void matrix::put()
{
cout<<"The Ans is:\n";
for(int i=0;i<x;i++)
{
cout<<"\n\t";
for(int j=0;j<y;j++)
cout<<a[i][j]<<" ";
}
}
matrix matrix::operator+(matrix b)
{
matrix r;
if((x!=b.x)||(y!=b.y))
{
cout<<"\n\tMatrix Addition is not possible the result is incorrect\n\n";
r.x=0;
r.y=0;
}
else
{
r.x=x;
r.y=y;
}
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
r.a[i][j]=a[i][j]+b.a[i][j];
return r;
}
matrix matrix::operator-(matrix b)
{
matrix r;
if((x!=b.x)||(y!=b.y))
{
cout<<"\n\tMatrix subtraction is not possible the result is incorrect\n\n";
r.x=0;
r.y=0;
}
else
{
r.x=x;
r.y=y;
}
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
r.a[i][j]=a[i][j]-b.a[i][j];

return r;
}
matrix matrix::operator*(matrix b)
{
matrix r;
int i,j;
if((x!=b.y)||(y!=b.x))
{
cout<<"\n\tMatrix Multiplication is not possible the result is incorrect\n\n";
r.x=0;
r.y=0;
}
else
{
r.x=x;
r.y=b.y;
}
for(int i=0;i<s;i++)
for(int j=0;j<s;j++)
r.a[i][j]=0;
for(i=0;i<x;i++)
for(j=0;j<b.y;j++)
for(int k=0;(k<y)||(k<b.x);k++)
r.a[i][j]+=a[i][k]*b.a[k][j];

return r;
}
matrix matrix::transpose()
{
matrix r;
int i,j;
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
r.a[i][j]=a[j][i];
r.x=x;
r.y=y;
return r;
}
/*matrix determinant */
void matrix::determinant()
{
  
int i, j;
   float determinant = 0;
  
   //finding determinant
   for(i = 0; i < 3; i++)
       determinant = determinant + (a[0][i] * (a[1][(i+1)%3] * a[2][(i+2)%3] - a[1][(i+2)%3] * a[2][(i+1)%3]));
  
   cout<<("\n\ndeterminant: %f\n", determinant);
   //finding inverse
   printf("\nInverse of matrix is: \n");
   for(i = 0; i < 3; i++){
       for(j = 0; j < 3; j++)
   cout<<("%.2f\t",((a[(j+1)%3][(i+1)%3] * a[(j+2)%3][(i+2)%3]) - (a[(j+1)%3][(i+2)%3] * a[(j+2)%3][(i+1)%3]))/determinant);
      
       cout<<("\n");
   }
   }
  

#include<iostream>
#include<stdlib.h>
#include<string.h>
#include "matrix.h"
#define s 20
using std::cout;
using std::cin;
using std::endl;

//..........................Main function..................................

int main()
{

char op;
matrix a,b,c;
int t=1;
while(t)
{
cout<<"\tSelect Option\n\n1.Matrix Addition\n2.Matrix Subtration\n3.Matrix Multiplication\n4.Matrix Transponse\nmatrix determinangt and inverse\n6.Exit\n";
cin>>op;
switch(op)
{
case '1':
cout<<"\n\tMatrix Addiation\n";
a.get();
b.get();
c=a+b;
c.put();
break;
case'2':
cout<<"\n\tMatrix Subtration\n";
a.get();
b.get();
c=a-b;
c.put();
break;
case'3':
cout<<"\n\tMatrix Multpication\n";
a.get();
b.get();
c=a*b;
c.put();
break;
case'4':
cout<<"\n\tMatrix Transpose\n";
a.get();
c=a.transpose();
c.put();
break;
case '5':
cout<<"matrix determinant and inverse\n";
a.get();
a.determinant();
a.put();
break;
case'6':
cout<<"\n\tPress any key to exit\n";
t=0;
break;
default:
cout<<"\n\tEnter a valid option\n";
}
  
}
    return 0;
}

first file main.cpp

#include<iostream>
#include<stdlib.h>
#include<string.h>
#include "project3.h"
#define s 20
using std::cout;
using std::cin;
using std::endl;

//..........................Main function..................................

int main()
{

char op;
matrix a,b,c;
int t=1;
while(t)
{
cout<<"\tSelect Option\n\n1.Matrix Addition\n2.Matrix Subtration\n3.Matrix Multiplication\n4.Matrix Transponse\nmatrix determinangt and inverse\n6.Exit\n";
cin>>op;
switch(op)
{
case '1':
cout<<"\n\tMatrix Addiation\n";
a.get();
b.get();
c=a+b;
c.put();
break;
case'2':
cout<<"\n\tMatrix Subtration\n";
a.get();
b.get();
c=a-b;
c.put();
break;
case'3':
cout<<"\n\tMatrix Multpication\n";
a.get();
b.get();
c=a*b;
c.put();
break;
case'4':
cout<<"\n\tMatrix Transpose\n";
a.get();
c=a.transpose();
c.put();
break;
case '5':
cout<<"matrix determinant and inverse\n";
a.get();
a.determinant();
a.put();
break;
case'6':
cout<<"\n\tPress any key to exit\n";
t=0;
break;
default:
cout<<"\n\tEnter a valid option\n";
}
  
}
  
  
return 0;
}

next project3.cpp

#include "project3.h"
#include <iostream>
#include <cassert>

void matrix::get()
{
cout<<"Enter the order of Matrix "<<" :\n";
cin>>x>>y;
cout<<"Enter the Matrix "<<" :\n";
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
cin>>a[i][j];

}
void matrix::put()
{
cout<<"The Ans is:\n";
for(int i=0;i<x;i++)
{
cout<<"\n\t";
for(int j=0;j<y;j++)
cout<<a[i][j]<<" ";
}
}
matrix matrix::operator+(matrix b)
{
matrix r;
if((x!=b.x)||(y!=b.y))
{
cout<<"\n\tMatrix Addition is not possible the result is incorrect\n\n";
r.x=0;
r.y=0;
}
else
{
r.x=x;
r.y=y;
}
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
r.a[i][j]=a[i][j]+b.a[i][j];
return r;
}
matrix matrix::operator-(matrix b)
{
matrix r;
if((x!=b.x)||(y!=b.y))
{
cout<<"\n\tMatrix subtraction is not possible the result is incorrect\n\n";
r.x=0;
r.y=0;
}
else
{
r.x=x;
r.y=y;
}
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
r.a[i][j]=a[i][j]-b.a[i][j];

return r;
}
matrix matrix::operator*(matrix b)
{
matrix r;
int i,j;
if((x!=b.y)||(y!=b.x))
{
cout<<"\n\tMatrix Multiplication is not possible the result is incorrect\n\n";
r.x=0;
r.y=0;
}
else
{
r.x=x;
r.y=b.y;
}
for(int i=0;i<s;i++)
for(int j=0;j<s;j++)
r.a[i][j]=0;
for(i=0;i<x;i++)
for(j=0;j<b.y;j++)
for(int k=0;(k<y)||(k<b.x);k++)
r.a[i][j]+=a[i][k]*b.a[k][j];

return r;
}
matrix matrix::transpose()
{
matrix r;
int i,j;
for(int i=0;i<x;i++)
for(int j=0;j<y;j++)
r.a[i][j]=a[j][i];
r.x=x;
r.y=y;
return r;
}
/*matrix determinant */
void matrix::determinant()
{
  
int i, j;
   float determinant = 0;
  
   //finding determinant
   for(i = 0; i < 3; i++)
       determinant = determinant + (a[0][i] * (a[1][(i+1)%3] * a[2][(i+2)%3] - a[1][(i+2)%3] * a[2][(i+1)%3]));
  
   cout<<("\n\ndeterminant: %f\n", determinant);
   //finding inverse
   printf("\nInverse of matrix is: \n");
   for(i = 0; i < 3; i++){
       for(j = 0; j < 3; j++)
   cout<<("%.2f\t",((a[(j+1)%3][(i+1)%3] * a[(j+2)%3][(i+2)%3]) - (a[(j+1)%3][(i+2)%3] * a[(j+2)%3][(i+1)%3]))/determinant);
      
       cout<<("\n");
   }
   }
next project3.h

#include <iostream>
class matrix
{
public:
int a[s][s],x,y;
  
  
void get();
void put();
void inverse();
void determinant();
void resize(int row, int column) ;
matrix operator+(matrix);
matrix operator-(matrix);
matrix operator*(matrix);
matrix transpose();
};

now i am uploading a screenshot of running program with proper output window

#include<stdlib.h> #include<string.h> #define s 20 using std::cout; using std::cin; using std::endl; class matrix public: int a[s][s],x,y; void get(); void put(); void inverse(); void determinant(); void resize(int row, int column) ; matrix operator+(matrix); matrix operator-(matrix); matrix operator*(matrix); matrix transpose(); void matrix::get() cout<<"Enter the order of Matrix "<<" : \n"; cin>>x>>y; cout<<"Enter the Matrix "<<" : \n";

1.Matrix Addition 2.Matrix Subtration 3.Matrix Multiplication 4.Matrix Transponse matrix determinangt and inverse 6.Exit Matrix Addiation Enter the order of Matrix : Enter the Matrix : P Enter the order of Matrix : Enter the Matrix : P The Ans is: 22 2 2 Select option Ac 1.Matrix Addition 2.Matrix Subtration 3.Matrix Multiplication 4.Matrix Transponse matrix determinangt and inverse

1.Matrix Addition 2.Matrix Subtration 3.Matrix Multiplication 4.Matrix Transponse natrix determinangt and inverse 6.Exit Matrix Multpication Enter the order of Matrix : Enter the Matrix : Enter the order of Matrix : Enter the Matrix : Matrix Multiplication is not possible the result is incorrect The Ans is: Select option 1.Matrix Addition 2.Matrix Subtration 3.Matrix Multiplication 4.Matrix Transponse natrix determinangt and inverse 6.Exit Activate Windc Go to Settings to act