For
Finding the RREF(A) is simply:
and so
.
So the solution set and so those are your two general e-vectors for .
(This is a linear algebra question and really belongs in that forum)
I have found that the eigenvalues are and
However finding the eigenvectors is where I get a little confused. Looking first at the value we get:
So for the eigenvector do I just choose any values for e2 and e3. For instance would the vector: work?
Further since this is a repeated roots case don't I need to find another matrix such that:
However, trying to solve this I get the equation:
which I think has no solutions...
help?
Hi Tau. I'm stickin' to my guns. Sides, it's satisfies the system. My understanding is you only need to seek solutions of the form if you cannot find linearly independent eigenvectors. But we have two. Tell you what, it's Sunday. If it's due tomorrow and it was mine, this is what I'm turning in.