Problem Statement:
Write a program that stores matrix 2 * 2 and find transpose, adjoint, and determination using functions.
CODE:
```
#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");
}
```

DEMO:
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