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Three by Three Matrix Utilities

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Submitted on: 1/3/2015 12:12:00 PM
By: Patrick Felton (from psc cd)  
Level: Intermediate
User Rating: By 2 Users
Compatibility: C++ (general)
Views: 335
 
     Finds the determinant of 3x3 matricies and solves systems of 3 equations with 3 variables.
 

INCLUDE files:

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//**************************************
//INCLUDE files for :Three by Three Matrix Utilities
//**************************************
#include <iostream.h>
#include <stdlib.h>
code:
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//**************************************
// Name: Three by Three Matrix Utilities
// Description:Finds the determinant of 3x3 matricies and solves systems of 3 equations with 3 variables.
// By: Patrick Felton (from psc cd)
//
// Inputs:Select what you want to do and enter the numbers.
//
// Returns:The determinant or the x, y, and z valuse depending on what you want to do.
//
// Assumes:You don't need to know anything to use it, but to understand the code you need to understand c++ control structures, variables, functions, math operators, and i/o streams.
//
// Side Effects:None known.
//**************************************

/////////////////////////////////////////////////
// Title: 3x3 Matrix Tools //
// //
// File Name: 3x3.cpp //
// //
// Description: Solves systems of 3 equations //
// ans 3x3 matrices//
// //
// Author: Patrick Felton //
// //
// Developed: Pentium III 800mhz 384 SDRAM //
//Microsoft Windows XP Pro 2600//
//Bloodshed Dev C++ 4.0//
// //
// Target: Win32//
// //
// Revision History: Created March 2002//
// //
// //
/////////////////////////////////////////////////
#include <iostream.h>
#include <stdlib.h>
int main();
int solveMatrix(int m1, int m2, int m3, int m4, int m5, int m6, int m7, int m8, int m9)
{
 int cross1, cross2, cross3, cross4, cross5, cross6;
 int eq1, eq2;
 int det;
 cross1 = m1 * m5 * m9;
 cross2 = m2 * m6 * m7;
 cross3 = m3 * m4 * m8;
 cross4 = m7 * m5 * m3;
 cross5 = m8 * m6 * m1;
 cross6 = m9 * m4 * m2;
 eq1 = cross1 + cross2 + cross3;
 eq2 = cross4 + cross5 + cross6;
 det = eq1 - eq2;
 return det;
}
void doMatrix()
{
 int m1, m2, m3, m4, m5, m6, m7, m8, m9;
 system("cls");
 cout << "|| " << endl;
 cout << " 1 | 2 | 3" << endl;
 cout << "------------- " << endl;
 cout << " 4 | 5 | 6" << endl;
 cout << "------------- " << endl;
 cout << " 7 | 8 | 9" << endl;
 cout << "|| \n\n" << endl;
 cout << "Please enter number 1: ";
 cin >> m1;
 cout << "Please enter number 2: ";
 cin >> m2;
 cout << "Please enter number 3: ";
 cin >> m3;
 cout << "Please enter number 4: ";
 cin >> m4;
 cout << "Please enter number 5: ";
 cin >> m5;
 cout << "Please enter number 6: ";
 cin >> m6;
 cout << "Please enter number 7: ";
 cin >> m7;
 cout << "Please enter number 8: ";
 cin >> m8;
 cout << "Please enter number 9: ";
 cin >> m9;
 cout << endl << "------------\n" << endl;
 cout << "The determinant is: " << solveMatrix(m1, m2, m3, m4, m5, m6, m7, m8, m9) << endl << endl;
 system("pause");
 main();
}
void solveSystem()
{
 system("cls");
 int s1, s2, s3, s4, s5, s6, s7, s8, s9, s10, s11, s12;
 int d, dx, dy, dz;
 cout << "1(x) +2(y) +3(z) = 4" << endl;
 cout << "5(x) +6(y) +7(z) = 8" << endl;
 cout << "9(x) + 10(y) + 11(z)= 12" << endl << endl;
 cout << "Please enter number 1: ";
 cin >> s1;
 cout << "Please enter number 2: ";
 cin >> s2;
 cout << "Please enter number 3: ";
 cin >> s3;
 cout << "Please enter number 4: ";
 cin >> s4;
 cout << "Please enter number 5: ";
 cin >> s5;
 cout << "Please enter number 6: ";
 cin >> s6;
 cout << "Please enter number 7: ";
 cin >> s7;
 cout << "Please enter number 8: ";
 cin >> s8;
 cout << "Please enter number 9: ";
 cin >> s9;
 cout << "Please enter number 10: ";
 cin >> s10;
 cout << "Please enter number 11: ";
 cin >> s11;
 cout << "Please enter number 12: ";
 cin >> s12;
 d = solveMatrix(s1, s2, s3, s5, s6, s7, s9, s10, s11);
 dx = solveMatrix(s4, s2, s3, s8, s6, s7, s12, s10, s11);
 dy = solveMatrix(s1, s4, s3, s5, s8, s7, s9, s12, s11);
 dz = solveMatrix(s1, s2, s4, s5, s6, s8, s9, s10, s12);
 cout << endl << "------------\n" << endl;
 cout << "X: " << dx << "/" << d << endl;
 cout << "Y: " << dy << "/" << d << endl;
 cout << "Z: " << dz << "/" << d << endl << endl;
 system("pause");
 main();
}
int main()
{
 system("cls");
 int w00t;
 cout << "-------------------------------------------------" << endl;
 cout << "---------Welcome to 3x3 Matrix Utilities---------" << endl;
 cout << "-------------------------------------------------" << endl;
 cout << "------Written by Zebulon--http://zebulon.tk------" << endl;
 cout << "-------------------------------------------------" << endl;
 cout << "-------------Please select an option-------------" << endl;
 cout << "-------------------------------------------------" << endl;
 cout << "--[1]---Find the determinant of a 3 by 3 matrix--" << endl;
 cout << "--[2]---Solve a 3 variable, 3 equation system----" << endl;
 cout << "--[3]---Exit-------------------------------------" << endl;
 cin >> w00t;
 switch(w00t)
 {
case 1:
doMatrix();
break;
case 2:
solveSystem();
break;
case 3:
system("exit");
break;
default:
main();
break;
 }
 return 0;
}


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