In Java.

Write a library "Matrix" the implements the following API:

And then use the following code as the test client:

public class Matrix double dot (doublel] a, doublel] b) vector dot product double[]C] multiply(doubleC][] a, double[] [] b) matrix-matrix produci double [][] transpose (double [] ] a) transpose double[] multiply(double[]C] a, double[] x) matrix-vector product double[] multiply(double[] x, double[] C] ) ctor-matrix product