- #1
Luscinia
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Homework Statement
Find the eigen values of the following mapping and determine if there are invariant lines.
(2 -4)
(-3 3) is the mapping.
Homework Equations
det (L-λI)=0
The Attempt at a Solution
L-λI=
(2-λ -4)
(-3 3-λ)
det(L-λI)=0=ac-bd=(3-λ)(2-λ)-12
.: (3-λ)(2-λ)=12
6-3λ-2λ+λ2 -12=0
λ2-5λ-6=0
λ=-6 and 1
but the answer is supposed to be -1 and 6.
Also, since there are 2 eigenvalues, I'm guessing that means that there are 2 invariant lines. How do we find these 2 invariant lines?