I'm new to the forum so please be gentle
Done a BSc in Maths (many moons ago), looking to brush up my skills so as to start a masters next year.
I have the matrix A:
6 -2 2
-2 5 0
2 0 7
This is how far I have got:
Calculated the determinant as (took me a while to remember what a determinant was!): -y^3 + 18y^2 - 99y +162 = 0
where y is a scalar
Firstly, does this look correct because I have struggled to factorise it.
Secondly, is there and easy way to write formulas in a post?
I have a couple more questions regarding the Eigenvectors and showing that A is invertible but I figured I would leave those until I have managed to work out the eigenvalues.
I appreciate any help you can give me.