// Instructions:
// Write code to systematically search over alpha, beta values.


public class LinCombExample3 {

    public static void main (String[] argv) 
    {
	double[] u = {1,4};
	double[] v = {3,2};
	double[] z = {7.5,10};
	for (double alpha=0; alpha<=10; alpha+=0.1) {
	    for (double beta=0; beta<=10; beta+=0.1) {
		// See if alpha*u + beta*v is approximately z.

		// INSERT YOUR CODE HERE:

	    }
	}

    }

    static double[] add (double[] u, double[] v)
    {
	// INSERT YOUR CODE HERE (from previous exercise)
    }

    static double[] scalarMult (double alpha, double[] v)
    {
	// INSERT YOUR CODE HERE (from previous exercise)
    }

}