1. The problem statement, all variables and given/known data Find the eigen values of the following mapping and determine if there are invariant lines. (2 -4) (-3 3) is the mapping. 2. Relevant equations det (L-λI)=0 3. 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?