Write a program in C to find the inverse of the given matrix.

Write a program in C to find the inverse of the given matrix.

#include<stdio.h>
#include<conio.h>
 void main()
  {
  int m[3][3],m1[3][3],b1[3][3];
   int A11,A12,A13,A21,A22,A23,A31,A32,A33;
   int i,j,a1=0,ai;
  clrscr();
  printf("Enter 3*3 size of matrix:-\n");
  for(i=0;i<3;i++)
    for(j=0;j<3;j++)
      {
       scanf("%d",&m[i][j]);
      }
    a1=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]);
    printf("\n|A|!=%d",a1);
    if(a1==0)
      printf(" |A|=0 ,\n\tTherefore this matrix is not inverse ");
    else
    {
    A11=m[1][1]*m[2][2]-m[1][2]*m[2][1];
    A12=-(m[1][0]*m[2][2]-m[1][2]*m[2][0]);
    A13=m[1][0]*m[2][1]-m[1][1]*m[2][0];
    printf("\n The cofactor of the elements of the first row of |A| are  %d %d %d respectively.",A11,A12,A13);
    A21=-(m[0][1]*m[2][2]-m[0][2]*m[2][1]);
    A22=m[0][0]*m[2][2]-m[0][2]*m[2][0];
    A23=-(m[0][0]*m[2][1]-m[0][1]*m[2][0]);
    printf("\nThe cofactor of the elements of the second row of |A| are  %d %d %d respectively.",A21,A22,A23);
    A31=m[0][1]*m[1][2]-m[0][2]*m[1][1];
    A32=-(m[0][0]*m[1][2]-m[0][2]*m[1][0]);
    A33=m[0][0]*m[1][1]-m[0][1]*m[1][0];
    printf("\nThe cofactor of the elements of the first row of |A| are  %d %d %d respectively.",A31,A32,A33);
    printf("\nThe matrix B whose elements are the cofactor of the elements of |A|  is ");
    printf("\nB=\n");
       printf("\t %d  %d  %d \n",A11,A12,A13);
       printf("\t %d  %d  %d \n",A21,A22,A23);
       printf("\t %d  %d  %d \n",A31,A32,A33);
       printf("\nHence adj A =Transpose of B\n");
       printf(" %d  %d  %d \n",A11,A21,A31);
       printf(" %d  %d  %d \n",A12,A22,A32);
       printf(" %d  %d  %d \n",A13,A23,A33);

        printf("\nA inverse=\n");
        printf("%d/%d   %d/%d   %d/%d \n",A11,a1,A21,a1,A31,a1);
        printf("%d/%d   %d/%d   %d/%d \n",A12,a1,A22,a1,A32,a1);
        printf("%d/%d   %d/%d   %d/%d \n",A13,a1,A23,a1,A33,a1);
      }
     getch();
    }

Output:-

Related programs:

1.  Write a program in C to find the transpose of given matrix.
2.  Write a program in C to add two matrix.