Question: 0 2 SetA= [2 0 Correct answers not supported by substantive explanations will receive no credit.) . (For each of the question parts, briey justify

0 2 SetA= [2 0 Correct answers not supported by substantive explanations will receive no credit.) . (For each of the question parts, briey justify your answer and show your work stepbystep. (a) (1 point) Describe, either verbally or with a graph, the effect of the linear transformation T : R2 > R2,T(17) = A17 on a vector 17 of R2. (b) (1 point) Find the characteristic polynomial p()\\) and show that p(A) = 0. (c) (1 point) Find the eigenvalues of A. (d) (1 point) Describe (using a graph and/or one or more complete sentences) the effect of the linear trans- formation 9 : R2 > 1184(3) = A217 on any vector 17 of R2. [Note: It is not necessary to calculate A2 to answer this question] (e) (1 point) Find the eigenvalues of A2 (if possible). (f) (1 point) Find two distinct eigenvectors of A2 (if possible)
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