HW4

Power Method.

A) Get the matrix SmallA.mat and vector Smallb.mat from this directory.
B) Implement the following iterative algorithm:
	
	x = A.x
	m = Sqrt(x.x)
	x = x/m

run it five times with the vector Smallb.mat as an intial condition.
C) Compute A.x and compare it to x.  What have you computed?
D) Run it again but this time save the values of m at each stage.  Use
these values of m to illustrate the convergence of the iteration.
E) Create your own random matrix and random vector then run the 
same code. Check the convergence by looking at the m values.