/*Olá professora!
Para operar o código e realzar a resolução do sistema linear 3x3 através do método de Cramer, será utilizado o espaço para input 
ao lado (STDIN).
Para começar, substitua a primeira linha inteira pelos valores dos coeficientes da primeira equação, todos na mesma linha e separados 
por espaço.
Repita esse processo mais duas vezes para preencher as outras duas equações, e, na quarta e última linha, digite os termos independentes
(resultados de cada equação).
Para o calcular o sistema:
1a + 2b + 3c = 4d
5a + 6b + 7c = 8d
9a + 10b + 11c = 12d
Serão digitados no espaço ao lado:
1 2 3
5 6 7
9 10 11
4 8 12
*/


#include <stdio.h>

float determinante3x3(float m[3][3]) {
    float det = 
        m[0][0] * (m[1][1]*m[2][2] - m[1][2]*m[2][1]) -
        m[0][1] * (m[1][0]*m[2][2] - m[1][2]*m[2][0]) +
        m[0][2] * (m[1][0]*m[2][1] - m[1][1]*m[2][0]);
    return det;
}

int main() {
    float A[3][3], B[3];
    float Ax[3][3], Ay[3][3], Az[3][3];
    int i, j;

    printf("Digite os coeficientes do sistema (linha por linha):\n");
    for (i = 0; i < 3; i++) {
        printf("Equação %d (a%d b%d c%d): ", i+1, i+1, i+1, i+1);
        for (j = 0; j < 3; j++) {
            scanf("%f", &A[i][j]);
        }
    }

    printf("Digite os termos independentes (d1 d2 d3): ");
    for (i = 0; i < 3; i++) {
        scanf("%f", &B[i]);
    }

    for (i = 0; i < 3; i++) {
        for (j = 0; j < 3; j++) {
            Ax[i][j] = (j == 0) ? B[i] : A[i][j];  
            Ay[i][j] = (j == 1) ? B[i] : A[i][j];  
            Az[i][j] = (j == 2) ? B[i] : A[i][j];  
        }
    }

    float detA = determinante3x3(A);
    float detAx = determinante3x3(Ax);
    float detAy = determinante3x3(Ay);
    float detAz = determinante3x3(Az);

    if (detA == 0) {
        printf("O sistema não tem solução única (determinante da matriz principal é zero).\n");
    } else {
        float x = detAx / detA;
        float y = detAy / detA;
        float z = detAz / detA;

        printf("Solução do sistema:\n");
        printf("x = %.2f\n", x);
        printf("y = %.2f\n", y);
        printf("z = %.2f\n", z);
    }

    return 0;
}
 
by

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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
}