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Write a c plus plus program for finding the inverse of a given matrix?
Wiki User
∙ 9y ago
#include<stdio.h>
#include<math.h>
float detrm(float[][],float);
void cofact(float[][],float);
void trans(float[][],float[][],float);
main()
{
float a[25][25],k,d;
int i,j;
printf("ENTER THE ORDER OF THE MATRIX:\n");
scanf("%f",&k);
printf("ENTER THE ELEMENTS OF THE MATRIX:\n");
for(i=0;i<k;i++)
{
for(j=0;j<k;j++)
{
scanf("%f",&a[i][j]);
}
}
d=detrm(a,k);
printf("THE DETERMINANT IS=%f",d);
if(d==0)
printf("\nMATRIX IS NOT INVERSIBLE\n");
else
cofact(a,k);
}
/******************FUNCTION TO FIND THE DETERMINANT OF THE MATRIX************************/
float detrm(float a[25][25],float k)
{
float s=1,det=0,b[25][25];
int i,j,m,n,c;
if(k==1)
{
return(a[0][0]);
}
else
{
det=0;
for(c=0;c<k;c++)
{
m=0;
n=0;
for(i=0;i<k;i++)
{
for(j=0;j<k;j++)
{
b[i][j]=0;
if(i!=0&&j!=c)
{
b[m][n]=a[i][j];
if(n<(k-2))
n++;
else
{
n=0;
m++;
}
}
}
}
det=det+s*(a[0][c]*detrm(b,k-1));
s=-1*s;
}
}
return(det);
}
/*******************FUNCTION TO FIND COFACTOR*********************************/
void cofact(float num[25][25],float f)
{
float b[25][25],fac[25][25];
int p,q,m,n,i,j;
for(q=0;q<f;q++)
{
for(p=0;p<f;p++)
{
m=0;
n=0;
for(i=0;i<f;i++)
{
for(j=0;j<f;j++)
{
b[i][j]=0;
if(i!=q&&j!=p)
{
b[m][n]=num[i][j];
if(n<(f-2))
n++;
else
{
n=0;
m++;
}
}
}
}
fac[q][p]=pow(-1,q+p)*detrm(b,f-1);
}
}
trans(num,fac,f);
}
/*************FUNCTION TO FIND TRANSPOSE AND INVERSE OF A MATRIX**************************/
void trans(float num[25][25],float fac[25][25],float r)
{
int i,j;
float b[25][25],inv[25][25],d;
for(i=0;i<r;i++)
{
for(j=0;j<r;j++)
{
b[i][j]=fac[j][i];
}
}
d=detrm(num,r);
inv[i][j]=0;
for(i=0;i<r;i++)
{
for(j=0;j<r;j++)
{
inv[i][j]=b[i][j]/d;
}
}
printf("\nTHE INVERSE OF THE MATRIX:\n");
for(i=0;i<r;i++)
{
for(j=0;j<r;j++)
{
printf("\t%f",inv[i][j]);
}
printf("\n");
}
}
Wiki User
∙ 12y ago
Wiki User
∙ 12y ago- #include
- int main(){
- int a[3][3],i,j;
- float determinant=0;
- printf("Enter the 9 elements of matrix: ");
- for(i=0;i<3;i++)
- for(j=0;j<3;j++)
- scanf("%d",&a[i][j]);
- printf("\nThe matrix is\n");
- for(i=0;i<3;i++){
- printf("\n");
- for(j=0;j<3;j++)
- printf("%d\t",a[i][j]);
- }
- for(i=0;i<3;i++)
- determinant = determinant + (a[0][i]*(a[1][(i+1)%3]*a[2][(i+2)%3] - a[1][(i+2)%3]*a[2][(i+1)%3]));
- printf("\nInverse of matrix is: \n\n");
- for(i=0;i<3;i++){
- for(j=0;j<3;j++)
- printf("%.2f\t",((a[(i+1)%3][(j+1)%3] * a[(i+2)%3][(j+2)%3]) - (a[(i+1)%3][(j+2)%3]*a[(i+2)%3][(j+1)%3]))/ determinant);
- printf("\n");
- }
- return 0;
- }
Wiki User
∙ 12y ago#include<stdio.h>
#include<math.h>
float detrm( float[][], float );
void cofact( float[][], float );
void trans( float[][], float[][], float );
main()
{
float a[ 25 ][ 25 ], k, d;
int i, j;
printf( "ENTER THE ORDER OF THE MATRIX:\n" );
scanf( "%f", &k );
printf( "ENTER THE ELEMENTS OF THE MATRIX:\n" );
for ( i = 0;i < k;i++ )
{
for ( j = 0;j < k;j++ )
{
scanf( "%f", &a[ i ][ j ] );
}
}
d = detrm( a, k );
printf( "THE DETERMINANT IS=%f", d );
if ( d 1 )
{
return ( a[ 0 ][ 0 ] );
}
else
{
det = 0;
for ( c = 0;c < k;c++ )
{
m = 0;
n = 0;
for ( i = 0;i < k;i++ )
{
for ( j = 0;j < k;j++ )
{
b[ i ][ j ] = 0;
if ( i != 0 && j != c )
{
b[ m ][ n ] = a[ i ][ j ];
if ( n < ( k - 2 ) )
n++;
else
{
n = 0;
m++;
}
}
}
}
det = det + s * ( a[ 0 ][ c ] * detrm( b, k - 1 ) );
s = -1 * s;
}
}
return ( det );
}
/*******************FUNCTION TO FIND COFACTOR*********************************/
void cofact( float num[ 25 ][ 25 ], float f )
{
float b[ 25 ][ 25 ], fac[ 25 ][ 25 ];
int p, q, m, n, i, j;
for ( q = 0;q < f;q++ )
{
for ( p = 0;p < f;p++ )
{
m = 0;
n = 0;
for ( i = 0;i < f;i++ )
{
for ( j = 0;j < f;j++ )
{
b[ i ][ j ] = 0;
if ( i != q && j != p )
{
b[ m ][ n ] = num[ i ][ j ];
if ( n < ( f - 2 ) )
n++;
else
{
n = 0;
m++;
}
}
}
}
fac[ q ][ p ] = pow( -1, q + p ) * detrm( b, f - 1 );
}
}
trans( num, fac, f );
}
/*************FUNCTION TO FIND TRANSPOSE AND INVERSE OF A MATRIX**************************/
void trans( float num[ 25 ][ 25 ], float fac[ 25 ][ 25 ], float r )
{
int i, j;
float b[ 25 ][ 25 ], inv[ 25 ][ 25 ], d;
for ( i = 0;i < r;i++ )
{
for ( j = 0;j < r;j++ )
{
b[ i ][ j ] = fac[ j ][ i ];
}
}
d = detrm( num, r );
inv[ i ][ j ] = 0;
for ( i = 0;i < r;i++ )
{
for ( j = 0;j < r;j++ )
{
inv[ i ][ j ] = b[ i ][ j ] / d;
}
}
printf( "\nTHE INVERSE OF THE MATRIX:\n" );
for ( i = 0;i < r;i++ )
{
for ( j = 0;j < r;j++ )
{
printf( "\t%f", inv[ i ][ j ] );
}
printf( "\n" );
}
}
Wiki User
∙ 9y agoUse the Eigen library to find the inverse of matrices. It is simpler and more efficient than trying to write your own. The only reason to write your own is when you have a better, more efficient method than those that already exist.
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