This C++ project calculates the determinant of a 3x3 matrix. It prompts the user to enter the elements of the matrix, displays the entered matrix, and then calculates the determinant using the rule of Sarrus.
The determinant of a 3x3 matrix is calculated using the rule of Sarrus, which involves multiplying certain elements of the matrix and summing them up in a specific pattern.
- Create a 3x3 matrix and prompt the user to input each element.
- Display the entered matrix.
- Calculate the determinant using the rule of Sarrus.
The main function contains the code for the matrix determinant calculation. When executed, the program prompts the user to input the elements of the matrix, displays the entered matrix, and then calculates and prints the determinant.
#include <iostream>
using namespace std;
int main() {
int matrix[3][3];
int count = 1;
// Input - all elements
cout << "Enter elements of 3x3 matrix:" << endl;
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
cout << "Enter element " << count << ": ";
cin >> matrix[i][j];
count++;
}
}
cout << endl;
// Output - Your 3x3 array
cout << "The 3x3 matrix entered is:" << endl;
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
cout << matrix[i][j] << " ";
}
cout << endl;
}
cout << endl;
// Calculate and print the determinant
int detValue = 0;
for (int i = 0; i < 3; i++) {
detValue += matrix[0][i] * (matrix[1][(i + 1) % 3] * matrix[2][(i + 2) % 3] - matrix[1][(i + 2) % 3] * matrix[2][(i + 1) % 3]);
}
// Output - Determinant
cout << "Determinant: " << detValue << endl;
return 0;
}
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