Ok so before i multiplied everything out, it came to:
det|1 (a - lamnda)| + (a - lamnda)*det|(a - lamnda) 1 | = 0
|0 1 | | 1 (a - lamnda)|
which becomes 1 + (a - lamnda)((a - lamnda)(a - lamnda) - 1)
I think...
Homework Statement
find eigenvalues and eigenvectors for the following matrix
|a 1 0|
|1 a 1|
|0 1 a|
Homework EquationsThe Attempt at a Solution
I'm trying to find eigenvalues, in doing so I've come to a dead end at 1 + (a^3 - lambda a^2 -2a^2 lambda + 2a lambda^2 + lambda^2 a - lambda^3 - a...