/*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;
}
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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.
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.
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;
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For loop is used to iterate a set of statements based on a condition.
for(Initialization; Condition; Increment/decrement){
// code
}
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
}
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);
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.
data-type array-name[size];
data-type array-name[size][size];
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
Library functions are the in-built functions which are declared in header files like printf(),scanf(),puts(),gets() etc.,
User defined functions are the ones which are written by the programmer based on the requirement.
return_type function_name(parameters);
function_name (parameters)
return_type function_name(parameters) {
//code
}