derryck1234
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Homework Statement
Let T: M22 - M22 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.
Homework Equations
det(lambdaI - A) = 0
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...?