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

Question

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

zepdrix · Answer

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

fibonaccichick666 · Answer

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

fibonaccichick666 · Answer

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

zepdrix · Answer

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

zepdrix · Answer

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:

fibonaccichick666 · Answer

awesome, cause attempting to type all that out sucked lol

zepdrix · Answer

XD

fibonaccichick666 · Answer

ok, have fun :)