Hey MHF,

So I am working through the Lorenz Equations and have run into a road block that has stumped me all day, I have turned to my beloved internet for help again.

So I have managed to work through the system of equ.

and have usedθ=10 andb=8/3... I know original... which gives me this matrix:::

Now I get stumped on producing the right the eigenvectors, which is a laborious process most of the time but it was beyond me today...

anyways, Eigenvalues are

λ= -8/3

λ= (-11-(81+40r)^(1/2))/2 and

λ= (-11+(81+40r)^(1/2))/2

Duhhh... this is easy but when I use λ= -8/3

I do not get the ε=(0,0,1) which my solutions say I should get....

Instead I get something like:

22/3ε1=10ε2

I am so very lost....Could someone please point me in the right direction.