Write and test two functions det2() and det3(). The det2() functionshould accept

Question

Write and test two functions det2() and det3(). The det2() functionshould accept four doubles corresponding to the coefficients of 2by 2 matrix and return its determinant (a double). The det3()function should accept the nine coefficients of a 3 by 3 matrix andreturn its determinant by calling det2() to calculate the required2 by 2 determinants. Complete the following steps:
*Write a main() driver function that prompts the user to enter thecoefficients of either a 2x2 or 3x3 matrix.
*Depending on the type of matrix enter either call det2() ordet3().
Have the main() function display the value of the determinant.

What I have so far works for everything except the 3x3determinant... which I have stuck a couple tests in and the t1 andt2 terms are not coming up with the right values for somereason.

Please highlight what you change / explain what I did wrong for alifesaver rating.

my code:
#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;

//function declarations
double det2( double, double, double, double);
double det3( double, double, double, double, double, double,double, double, double);

int main()
{
//variables
double type, d2, d3, a11, a12, a13, a21, a22, a23, a31, a32,a33;

//input
cout<< "Welcome to the determining Determinantsprogram!"<< endl;
do
{
cout<< "Enter the the type of square matrix (2 or 3) ";
cin >> type;
} while ( type != 2 && type != 3 );

if (type == 2)
{
cout << "Enter numbers corresponding to the row and columnsubscripts" << endl;
cout << "a11: ";
cin >> a11;
cout << "al2: ";
cin >> a12;
cout << "a21: ";
cin >> a21;
cout << "a22: ";
cin >> a22;

d2 = det2(a11, a12, a21, a22);

cout.setf(ios::fixed);
cout.setf(ios::showpoint);
cout.precision(3);

cout << "The determinant is: " << d2 << endl;

}

if (type == 3)
{
cout << "Enter numbers corresponding to the row and columnsubscripts" << endl;
cout << "a11: ";
cin >> a11;
cout << "al2: ";
cin >> a12;
cout << "a13: ";
cin >> a13;
cout << "a21: ";
cin >> a21;
cout << "a22: ";
cin >> a22;
cout << "a23: ";
cin >> a23;
cout << "a31: ";
cin >> a31;
cout << "a32: ";
cin >> a32;
cout << "a33: ";
cin >> a33;

d3 = det3(a11, a12, a13, a21, a22, a23, a31, a32, a33);

cout.setf(ios::fixed);
cout.setf(ios::showpoint);
cout.precision(3);

cout << "The determinant is: " << d3 << endl;

}

return 0;
}

//determinant functions

double det2( double a11, double a12, double a21, double a22)
{
//cout << "in det2" << endl; //test

return (a11*a22)-(a21*a12);
}

double det3( double a11, double a12, double a13, double a21, doublea22, double a23, double a31, double a32, double a33)
{
double d3, t1, t2, t3;
d3= (a11*(det2(a22, a23, a32, a33))) - (a22*(det2(a12, a13, a32,a33))) + (a31*(det2(a12, a13, a22, a23)));

//cout << "in det3" << endl; //test

t1= (a11*(det2(a22, a23, a32, a33))); //test
t2= -1*(a22*(det2(a12, a13, a32, a33))); //test
t3= (a31*(det2(a12, a13, a22, a23))); //test



cout<< t1 << " " << t2<< " " <<t3<< endl; //test

return d3;
}

Explanation / Answer

#include #include #include using namespace std; //function declarations double det2( double, double, double, double); double det3( double, double, double, double, double, double,double, double, double); int main() { //variables double type, d2, d3, a11, a12, a13, a21, a22, a23, a31, a32,a33; //input cout a33; d3 = det3(a11, a12, a13, a21, a22, a23, a31, a32, a33); cout.setf(ios::fixed); cout.setf(ios::showpoint); cout.precision(3); cout

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