I have an intro Linear Algebra assignment due tomorrow and I'm unsure of what the teacher expects. (I emailed him but he hasn't replied yet) Basically we never learned this stuff in class. It's an "extension" assignment. One of the questions is
Find the eigenvalues and eigenvectors of $A=\begin{pmatrix}3&1\\-1&2\end{pmatrix}$
I did the following:
$\det(A - \lambda I)=0$
$\lambda^2 -5\lambda + 7 = 0$
This has no real solutions. Normally, for an Linear Algebra 101 class, would this mean that there are no eigenvalues and no eigenvectors. Thanks.
P.S. It doesn't allow me to post the picture. Sorry.