(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let T: M_{22}- M_{22}be defined by

T(a b = 2c a + c

c d) b-2c d

(a) Find the eigenvalues T.

(b) Find bases for the eigenspaces of T.

2. Relevant equations

det(lambdaI - A) = 0

3. The attempt at a solution

I just wanted to know how to start here. I am used to using vector transformations...

Would I use identity matrices 1 0 0 1 0 0 0 0

0 0 0 0 1 0 0 1

And then form a matrix somehow? I just don't know how big or how this matrix would be formed...?

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# Eigenvectors and eigenspaces

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