// CS201 Assignment 2 Solution Spring 2021
#include <iostream>
#include <conio.h>
using namespace std;
int ShowMatrix()
{
//main matrix
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;
}
}
//Transpose
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;
}
}
//determenent calculating
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;
}
//Adjoint of matrix
int showAdjoint()
{
int ch,A2[2][2] = {{8,-4},{-6,2}},AD2[2][2],C2[2][2];
//Calculating co-factors of 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 ad-joint of 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 cho = 0;
cout<<" ||---Enter your choice---||"<<endl;
cout<<""<<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<<""<<endl;
cout<<"Press any other key to exit.";
cout<<""<<endl;
cin>>cho;
if (cho ==1)
{
ShowMatrix();
showTranspose ( );
}
else if (cho == 2)
{
showAdjoint();
calculateDeterminant();
}
else
system("pause");
}