Question

Matrix/Linear Algebra:
Need help finding Eigenvalues.
\[\Large \left[\begin{matrix} 0& 0& -1 \\ 0& 1& 0 \\ 1& 0& 0 \end{matrix}\right]\]

Answer 1

Doing the normal cofactor expansion method I found the \(\Large\rm \lambda=1\) eigenvalue.
But I can't seem the find the other two :(
\(\Large\rm \lambda=i,-i\)

Answer 2

so I'm getting det(a-rI)=-r[1-r * -r] +[1-r]

Answer 3

=-r^3+r^2-r+1 yes?

Answer 4

I don't see how you're getting that +_+

Answer 5

Ohhhh I left my bottom right entry as a 0, not as 0-lambda!
rookie mistake D::

Ah yes, that helps to see it though. Thanks c:

Answer 6

awesome, cause attempting to type all that out sucked lol

Answer 7

XD

Answer 8

ok, have fun :)