#include <stdio.h>
#include <stdlib.h>
#include <locale.h>
#define LINHA 3
#define COLUNA 4

void imprimirmatriz( double matriz[LINHA][COLUNA]);
void calculaVariaveis (double matriz[LINHA][COLUNA]) ;

int main()
{
    
   int dimensao ;
   double pivo;
   double determinante =1.0;
   double  matriz[LINHA][COLUNA];
     
    double variaveis[LINHA];
  
   int contador=0;
   
   /*
   Digite os valores do sistema em matriz.
   Ex: x +2y -3z = 4 na linha 1,
   A11 = 1  [Aperte enter]
   A12 = 2  [Aperte enter]
   A12 = 3  [Aperte enter]
   A14 = 4  [Aperte enter]
   E assim adiante com as outros 2 linhas.
   */
   


     printf("Digite os elementos da matriz EXTENDIDA.\n");
     printf("Ex: Se na primeira linha estiver escrito x+2y-3z=6 \n então:\n [1,1] = 1 \n [1,2] = 2 \n [1,3] = -3\n [1,4] = 6 \n");
     printf("Digite os elementos agora da linha 1 e logo depois da linha 2 e 3, um de cada vez.\n");

       for(int i =0;i<LINHA;i++){
        for(int j =0;j<COLUNA;j++){
        printf("[%d,%d]", i+1, j+1);

        scanf("%lf", &matriz[i][j]);

     }
     }


     imprimirmatriz( matriz);
     for(int i = 0; i <COLUNA - 1; i++)
    {
        if(matriz[i][i] == 0)
        {
            for(int k = i+1; k <LINHA; k++)
            {
                if(matriz[k][i] != 0)
                {
                    for(int j = 0; j < COLUNA; j++)
                    {
                       double  temp = matriz[i][j];
                        matriz[i][j] = matriz[k][j];
                        matriz[k][j] = temp;
                    }
                    k = COLUNA;

                }
            }
            contador++;
        }else

     //   if(matriz[i][i] != 0)
        {
            for(int k = i + 1; k < LINHA; k++)
            {
                pivo  = -1.0 *matriz[k][i] /  matriz[i][i];
                for(int j = i; j < COLUNA; j++)
                {
                    matriz[k][j] = matriz[k][j] + (pivo* matriz[i][j]);
                }
            }
        }
    }
       printf("Matriz triangular superior. \n");
             imprimirmatriz(matriz);

    determinante = 1.0;
    // Calcula o determinante
    for(int i = 0; i < LINHA; i++)
        determinante *= matriz[i][i];

    printf("\nDeterminante:\n");
    if(contador % 2 == 0)
        printf("%8.3f \n", determinante);
    else{
        determinante = -1.0*determinante;
        printf("%8.3f \n",  determinante);

    }if(determinante!=0){
      calculaVariaveis(matriz);}
      else{
        printf("Sistema impossivel ou inderteminado\n");
      }
   return 0;
}

void imprimirmatriz( double matriz[LINHA][COLUNA]){

      for(int i =0;i < LINHA;i++){
            for(int j =0;j<COLUNA;j++){
            printf("%5.3lf\t", matriz[i][j]);
            }
     printf("\n");
     }
      printf("\n");
}
void calculaVariaveis (double matriz[LINHA][COLUNA]){
   double variaveis[LINHA];
     variaveis[2]=matriz[2][3]/matriz[2][2];
     variaveis[1]=(matriz[1][3]-(matriz[1][2]*variaveis[2]))/matriz[1][1];
     variaveis[0]= (matriz[0][3]-(matriz[0][1]*variaveis[1]+(matriz[0][2]*variaveis[2])))/matriz[0][0] ;
     printf("\n");
     printf(" A variavel x= %lf \n", variaveis[0]);
     printf(" A variavel y= %lf \n", variaveis[1]);
     printf(" A variavel z= %lf \n", variaveis[2]);

}

 
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About C

C language is one of the most popular general-purpose programming language developed by Dennis Ritchie at Bell laboratories for UNIX operating system. The initial release of C Language was in the year 1972. Most of the desktop operating systems are written in C Language.

Key features:

  • Structured Programming
  • Popular system programming language
  • UNIX, MySQL and Oracle are completely written in C.
  • Supports variety of platforms
  • Efficient and also handle low-level activities.
  • As fast as assembly language and hence used as system development language.

Syntax help

Loops

1. If-Else:

When ever you want to perform a set of operations based on a condition if-else is used.

if(conditional-expression) {
   // code
} else {
   // code
}

You can also use if-else for nested Ifs and if-else-if ladder when multiple conditions are to be performed on a single variable.

2. Switch:

Switch is an alternative to if-else-if ladder.

switch(conditional-expression) {    
case value1:    
 // code    
 break;  // optional  
case value2:    
 // code    
 break;  // optional  
...    
    
default:     
 // code to be executed when all the above cases are not matched;    
} 

3. For:

For loop is used to iterate a set of statements based on a condition.

for(Initialization; Condition; Increment/decrement){  
  // code  
} 

4. While:

While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.

while(condition) {  
 // code 
}  

5. Do-While:

Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.

do {
  // code 
} while (condition); 

Arrays

Array is a collection of similar data which is stored in continuous memory addresses. Array values can be fetched using index. Index starts from 0 to size-1.

Syntax

One dimentional Array:

data-type array-name[size];

Two dimensional array:

data-type array-name[size][size];

Functions

Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity.

Two types of functions are present in C

  1. Library Functions:

Library functions are the in-built functions which are declared in header files like printf(),scanf(),puts(),gets() etc.,

  1. User defined functions:

User defined functions are the ones which are written by the programmer based on the requirement.

How to declare a Function

return_type function_name(parameters);

How to call a Function

function_name (parameters)

How to define a Function

return_type function_name(parameters) {  
  //code
}