C program to calculate the determinant of 3*3 matrix

 C program to calculate the determinant of 3*3 matrix

How to find the determinant of the 3*3 matrix

We use two dimension array to solve the C program to calculate the determinant of the 3*3 matrix.

Since the initial value of the array started from 0 so elements of the matrix are stored as below. 

C Program to calculate determinant of 3*3 matrix

program

#include<stdio.h> #include<conio.h> int main() {      int a[3][3], i, j, e, f, d, g, h, l, k;      // taking input of elements of 3*3 matrix      printf("\n Enter 3*3 matrix");      for(i=0;i<3;i++)// outer loop for taking elements of row      {           for(j=0;j<3;j++)// inner loop for taking elements of column           {               scanf("%d", &a[i][j]);           }      }      for(i=0;i<3;i++)      {           for(j=0;j<3;j++)           {                             e = a[1][1]*a[2][2] - a[1][2]*a[2][1];// finding a[1][1]*a[2][2] - a[1][2]*a[2][1]               f=a[0][0]*e; // finding a[0][0]*(a[1][1]*a[2][2] - a[1][2]*a[2][1])               g= a[1][0]*a[2][2] - a[1][2]*a[2][0]; // a[1][0]*a[2][2] - a[1][2]*a[2][0]               h = a[0][1]*g;// finding a[0][1]*(a[1][0]*a[2][2] - a[1][2]*a[2][0] )               k=a[1][0]*a[2][2] - a[1][2]*a[2][0];//a[1][0]*a[2][2] - a[1][2]*a[2][0]               l=a[0][2]*k;// finding a[0][2]( a[1][0]*a[2][2] - a[1][2]*a[2][0])               d=f-h+l;           }      }      // printing determinant of 3*3 matrix      printf("\n Determinant of 3*3 matrix is %d", d);      getch(); }

 Output

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In this above example

5 is stored in  a[0][0]	3 is stored in  a[0][1]	7 is stored in  a[0][2]
8 is stored in  a[1][0]	4 is stored in  a[1][1]	2 is stored in  a[1][2]
1 is stored in a[2][0]	6 is stored in a[2][1]	1 is stored in a[2][2]