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//Matrices
/* Un programa que pida al usuario los datos de una matriz de 3×3, y calcule y muestre su matriz inversa. */
#include<iostream>
#include<locale.h>
#include<conio.h>
int main(){
setlocale(LC_CTYPE, "Spanish");
int opt = 0;
double mz[3][3] = {};
double det = 0, det1 = 0, det2 = 0, rta = 0, a = 0, b= 0, c= 0, d= 0, e= 0, f= 0, g= 0, h= 0, k= 0;
system("cls");
std::cout<<"INVERSA DE MATRIZ 3 X 3"<<std::endl<<std::endl<<"Ubicación de datos en la matriz"<<std::endl<<"|[0][0] [0][1] [0][2]|"<<std::endl<<"|[1][0] [1][1] [1][2]|"<<std::endl<<"|[2][0] [2][1] [2][2]|"<<std::endl<<std::endl;
std::cout<<"Ingreso de datos de su matriz 3 x 3"<<std::endl;
for(int i = 0; i<=2; i++){ //Ingreso de datos.
for(int j = 0; j<=2; j++){
std::cout<<"["<<i<<"] ["<<j<<"] = "; std::cin>>mz[i][j];
}
std::cout<<std::endl;
}
//Presentación de la matriz.
std::cout<<"-Matriz"<<std::endl;
for(int i = 0; i<=2; i++){
std::cout<<"| ";
for(int j = 0; j<=2; j++){
std::cout<<mz[i][j]<<" | ";
}
std::cout<<std::endl;
}
//Calcular la determinante.
det = (mz[0][0])*(((mz[1][1])*(mz[2][2]))-((mz[1][2])*(mz[2][1])));
det1 = (mz[0][1])*(((mz[0][1])*(mz[2][2]))-((mz[1][2])*(mz[2][0])));
det2 = (mz[0][2])*(((mz[0][1])*(mz[2][1]))-((mz[1][1])*(mz[2][0])));
rta = det - (det1) + (det2);
std::cout<<std::endl<<"-La determinante de su matriz = "<<rta<<std::endl;
//Calcular la adjunta.
a = +(((mz[1][1])*(mz[2][2]))-((mz[1][2])*(mz[2][1])));
b = -(((mz[1][0])*(mz[2][2]))-((mz[1][2])*(mz[2][0])));
c = +(((mz[1][0])*(mz[2][1]))-((mz[1][1])*(mz[2][0])));
d = -(((mz[0][1])*(mz[2][2]))-((mz[0][2])*(mz[2][1])));
e = +(((mz[0][0])*(mz[2][2]))-((mz[0][2])*(mz[2][0])));
f = -(((mz[0][0])*(mz[2][1]))-((mz[0][1])*(mz[2][0])));
g = +(((mz[0][1])*(mz[1][2]))-((mz[0][2])*(mz[1][1])));
h = -(((mz[0][0])*(mz[1][2]))-((mz[0][2])*(mz[1][0])));
k = +(((mz[0][0])*(mz[1][1]))-((mz[0][1])*(mz[1][0])));
double mz1[3][3] = {{a, b, c}, {d, e, f}, {g, h, k}};
std::cout<<std::endl<<"-Matriz adjunta 3 x 3"<<std::endl;
for(int i = 0; i<=2; i++){
std::cout<<" | ";
for(int j = 0; j<=2; j++){
std::cout<<mz1[j][i]<<" | ";
}
std::cout<<std::endl;
}
std::cout<<std::endl<<"-Matriz inversa 3 x 3"<<std::endl;
for(int i = 0; i<=2; i++){ //Presentación de la matriz inversa.
std::cout<<"| ";
for(int j = 0; j<=2; j++){
std::cout<<((mz1[j][i])/rta)<<" | ";
}
std::cout<<std::endl;
}
//Ciclo DO WHILE para permitir al usario volver a inicio o salir.
do{
std::cout<<std::endl<<"Volver a ingresar matriz[1] // Salir del programa[2]"<<std::endl<<"Opción = "; std::cin>>opt;
if(opt == 1){
std::cout<<std::endl;
return main();
} else if(opt > 2 || opt <= 0){ // Mensaje de error si no elige el 1 o el 2 como se le indica.
std::cout<<"-----ERROR = Solo puede elegir el 1 o el 2-----"<<std::endl;
} else{
std::cout<<std::endl<<"Gracias por usar este programa :D";
getch();
return 0;
}
}while(opt >= 3 || opt<=0);
return 0;
}
