May 2, 2012

C Program to solve equations using Jordan elimination method.

Write a C Program to solve equations using Jordan elimination method.
Gauss-Jordan elimination method is used to solve the linear equations. In this method, We find the inverse matrix of the coefficients of equations by elementary row operations. Read more about C Programming Language . and read the C Programming Language (2nd Edition) by K and R.



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#include<stdio.h>
#include<conio.h>
void solution( int a[][], int var );
int main()
{
    
    int a[ 20 ][ 20 ], var, i, j, k, l;
    clrcsr();
    printf( "\nEnter the number of variables:\n" );
    scanf( "%d", &var );
    
    for ( i = 0;i < var;i++ )
    {
        printf( "\nEnter the equation%d:\n", i + 1 );
        
        for ( j = 0;j < var;j++ )
        {
            printf( "Enter the coefficient of  x%d:\n", j + 1 );
            scanf( "%d", &a[ i ][ j ] );
        }
        
        printf( "\nEnter the constant:\n" );
        scanf( "%d", &a[ i ][ n ] );
    }
    
    solution( a, var );
    return 0;
}



void solution( int a[ 20 ][ 20 ], int var )
{
    int k, i, l, j;
    
    for ( k = 0;k < var;k++ )
    {
        for ( i = 0;i <= var;i++ )
        {
            l = a[ i ][ k ];
            
            for ( j = 0;j <= var;j++ )
            {
                if ( i != k )
                a[ i ][ j ] = a[ k ][ k ] * a[ i ][ j ] – l * a[ k ][ j ];
            }
        }
    }
    
    printf( "\nSolutions:" );
    
    for ( i = 0;i < n;i++ )
    {
        printf( "\nTHE VALUE OF x%d IS %f\n", i + 1, ( float ) a[ i ][ n ] / ( float ) a[ i ][ i ] );
    }
    
}
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