Compute x$3$ and x$4$ for the matrix and initial vector defined in equation $(2)$ using the normalized power method function norm$\_$approx$\_$gen you defined in Problem $4.$ Save the values of these vectors as x$\_$vect$\_3$ and x$\_$vect$\_4$ respectively.

problem $4$ answer:

def norm$\_$approx$\_$gen$($M$,$ x$\_0,$ k$)$:

lambda$\_1=0$

x$\_$vect $=$ x$\_0$

for j in range$(1,$ k $+1)$:

w $=$ M @ x$\_$vect

lambda$\_1=$ w$[0]/$ x$\_$vect$[0]$

m $=$ np$.$max$($np$.$abs$($w$))$

x$\_$vect $=$ w $/$ m

return x$\_$vect, lambda$\_1$