#include <stdio.h>
#include <stdlib.h>

void imprimirMatriz2x2(double a, double b, double c, double d) {
    printf("\nA matriz inserida e:\n");
    printf("[ %.3lf  %.3lf ]\n", a, b);
    printf("[ %.3lf  %.3lf ]\n", c, d);
}

void inversa2x2(){
    double a, b, c, d;
    printf("Digite os elementos da matriz 2x2 (linha por linha):\n");
    printf("Elemento [1][1]: ");
    scanf("%lf", &a);
    printf("Elemento [1][2]: ");
    scanf("%lf", &b);
    printf("Elemento [2][1]: ");
    scanf("%lf", &c);
    printf("Elemento [2][2]: ");
    scanf("%lf", &d);

    imprimirMatriz2x2(a, b, c, d);

    double det = a * d - b * c;
    if(det == 0){
        printf("\nA matriz nao possui inversa (determinante zero).\n");
        return;
    }
    printf("\nA matriz inversa e:\n");
    printf("[ %.3lf  %.3lf ]\n",  d / det, -b / det);
    printf("[ %.3lf  %.3lf ]\n", -c / det,  a / det);
}

void imprimirMatriz3x3(double m[3][3]) {
    printf("\nA matriz inserida e:\n");
    for(int i = 0; i < 3; i++){
        printf("[ ");
        for(int j = 0; j < 3; j++){
            printf("%.3lf ", m[i][j]);
        }
        printf("]\n");
    }
}

void inversa3x3(){
    double m[3][3];
    printf("Digite os elementos da matriz 3x3 (linha por linha):\n");
    for(int i = 0; i < 3; i++){
        for(int j = 0; j < 3; j++){
            printf("Elemento [%d][%d]: ", i+1, j+1);
            scanf("%lf", &m[i][j]);
        }
    }

    imprimirMatriz3x3(m);

    double 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]);

    if(det == 0){
        printf("A matriz nao possui inversa (determinante zero).\n");
        return;
    }
    
    double cof[3][3];
    cof[0][0] =  (m[1][1]*m[2][2] - m[1][2]*m[2][1]);
    cof[0][1] = -(m[1][0]*m[2][2] - m[1][2]*m[2][0]);
    cof[0][2] =  (m[1][0]*m[2][1] - m[1][1]*m[2][0]);

    cof[1][0] = -(m[0][1]*m[2][2] - m[0][2]*m[2][1]);
    cof[1][1] =  (m[0][0]*m[2][2] - m[0][2]*m[2][0]);
    cof[1][2] = -(m[0][0]*m[2][1] - m[0][1]*m[2][0]);

    cof[2][0] =  (m[0][1]*m[1][2] - m[0][2]*m[1][1]);
    cof[2][1] = -(m[0][0]*m[1][2] - m[0][2]*m[1][0]);
    cof[2][2] =  (m[0][0]*m[1][1] - m[0][1]*m[1][0]);

    double adj[3][3];
    for(int i = 0; i < 3; i++){
       for(int j = 0; j < 3; j++){
           adj[i][j] = cof[j][i];
       }
    }
    
    printf("\nA matriz inversa e:\n");
    for(int i = 0; i < 3; i++){
        printf("[ ");
        for(int j = 0; j < 3; j++){
            printf("%.3lf ", adj[i][j] / det);
        }
        printf("]\n");
    }
}

int main(){
    int opcao;
    printf("Escolha a operacao:\n");
    printf("Digite 1 para matriz 2x2 ou 2 para matriz 3x3: ");
    scanf("%d", &opcao);

    if(opcao == 1){
        inversa2x2();
    } else if(opcao == 2){
        inversa3x3();
    } else {
        printf("Opcao invalida.\n");
    }

    return 0;
} 
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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
}