Finding eigenvalues with the power series method

[Ready2GoXtr]

Homework Statement

Consider the matrix [1,-5,5;-3,-1,3;1,-2,2]
Do four interations of the power method, beginning at [1,1,1] to approximate the dominant eigenvalues of A

Homework Equations

Matrix multiplication

The Attempt at a Solution

Okay my issue with this problem is this
I set V₀ = [1;1;1],
Now I go to calculate u₁
u₁ = A*V₀ = [1,-5,5;-3,-1,3;1,-2,2]*[1;1;1]=[1;-1;1], V₁ = u₁ / (?) and what value should i divide it by, which one has the largest magnitude, would it be -1, because I know that is unique, otherwise, is it 1?
Because I've tried both ways and I am not sure which way to go on this.

 

[Redbelly98]

You divide by the magnitude (i.e. length) of u1, or |u1|.