Question: Let: A = Jai = 1 ,a2 - 1 }, 8 - 16 - 2 ,62 - 2 C = Gi = , C2 O

Let: A = Jai = 1 ,a2 - 1 }, 8 - 16 - 2 ,62 - 2 CLet: A = Jai = 1 ,a2 - 1 }, 8 - 16 - 2 ,62 - 2 C
Let: A = Jai = 1 ,a2 - 1 }, 8 - 16 - 2 ,62 - 2 C = Gi = , C2 O CO be three bases of R2. (a) (1 point) If Z = 3ci - 3c2, what is [Z']c? (b) (1 point) Find Pc and explain your reasoning. (c) (1 point) How many vectors are in Nul(Pc)? Provide a substantive explanation in support of your answer. (d) (1 point) Find the eigenvalues of Pc. Provide a substantive explanation in support of your answer. (e) (1 point) For each eigenvalue of Pc, find two distinct eigenvectors. Provide a substantive explanation in support of your answer.(f) (g) (h) (i ) (j) ( ( ( ( ( 1 point Use the solved example in the annotated slides to nd PB

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