import com.imsl.math.*;

public class LUEx1 {
    public static void main(String args[]) throws SingularMatrixException {
        double	a[][] = {
            {1, 3, 3},
            {1, 3, 4},
            {1, 4, 3}
        };
        double	b[] = {12, 13, 14};
        
        // Compute the LU factorization of A
        LU lu = new LU(a);
        
        // Solve Ax = b
        double	x[] = lu.solve(b);
        new PrintMatrix("x").print(x);
        
        // Find the inverse of A.
        double	ainv[][] = lu.inverse();
        new PrintMatrix("ainv").print(ainv);
        
        // Find the condition number of A.
        double	condition = lu.condition(a);
        System.out.println("condition number = "+condition);
        System.out.println();
        
        // Find the determinant of A.
        double	determinant = lu.determinant();
        System.out.println("determinant = "+determinant);
    }
}