CS201 Assignment 2 Solution PDF/word Write a program which store matrix 2 * 2 and find transpose, adjoint and determination.

Write a program which store matrix 2 * 2 and find transpose, adjoint and determination using functions.

Solution:

#include <iostream>

#include <conio.h>

using namespace std;

int ShowMatrix()

{

int row=2, column=2;

int matrix[2][2] = { {8, -4} , {-6, 2}  };

   cout<<"The matrix is:"<<endl;

   for(int i=0; i<row; ++i) {

      for(int j=0; j<column; ++j)

      cout<<matrix[i][j]<<" ";

      cout<<endl;

   }

}

   int showTranspose ( )

{

   int transpose[2][2], row=2, column=2, i, j;

   int matrix[2][2] = { {8, -4} , {-6, 2}  };

     cout<<endl;

   for(i=0; i<row; ++i)

   for(j=0; j<column; ++j) {

      transpose[j][i] = matrix[i][j];

   }

   cout<<"The transpose of the matrix is:"<<endl;

   for(i=0; i<column; ++i) {

      for(j=0; j<row; ++j)

      cout<<transpose[i][j]<<" ";

      cout<<endl;

   }

}

int calculateDeterminant()

{

int  determMatrix[2][2], determinant;

int matrix[2][2] = { {8, -4} , {-6, 2}  };

     determinant = ((matrix[0][0] * matrix[1][1]) - 

(matrix[0][1] * matrix[1][0]));

cout << "\nThe Determinant of 2 * 2 Matrix = " << determinant;

}

int showAdjoint()

{

  int ch,A2[2][2] = {{8,-4},{-6,2}},AD2[2][2],C2[2][2];

//Calculating cofactors of a matrix of order 2x2

        C2[0][0]=A2[1][1]; C2[0][1]=-A2[1][0]; C2[1][0]=-A2[0][1]; C2[1][1]=A2[0][0];

//calculating adjoint of the matrix of order 2x2

        AD2[0][0]=C2[0][0]; AD2[0][1]=C2[1][0]; AD2[1][0]=C2[0][1]; AD2[1][1]=C2[1][1];

        cout<<"\n\nAdjoint of A is :- \n\n";

        cout<<"|\t"<<AD2[0][0]<<"\t"<<AD2[0][1]<<"\t|\n|\t"<<AD2[1][0]<<"\t"<<AD2[1][1]<<"\t|\n";

}

int main()

{

int choice = 0;

cout<<"Enter your choice "<<endl;

cout<<"Press 1 to display the matrix and its transpose"<<endl;

cout<< "Press 2 to find adjoint and determinant of the matrix"<<endl;

cout<<"Press any other key to exit.";

cin>>choice;

 if (choice ==1)

{

  ShowMatrix();

    showTranspose ( );

}

    else if (choice == 2)

    {

showAdjoint();

calculateDeterminant();

}

else

system("pause");

}

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