Eigenvalue (Shouldn't it be simple?)

Hey there,

I have a matrix [ [1, 1], [0, s] ]

I'm supposed to find the eigenvalue (and -vector) of the matrix...

I end up with something like...

(1-x)(s-x)-1 = s-x-x*s+x^2-1 = 0

Okay, so is there any way to make this more simple?

Because, when i start making vectors, it gets quite unhandy...

Maybe it is just supposed to be unhandy?

Uhm, I mean, the above equation is okay, but - when I try to find x it gets really complicated.

This was by the way the first task in a test without calculators...

Thanks for taking a peek at it...

Simon DK.