A: a'i-[i],ad[i]}, B_{b:_[_22]';_[:|}! C{a'i[aye[2]}bethreebasesofR2. (a) 1 point) If 2 31 3132, what 15 [_']c? 1 point) Find PC and explain your reasoning. I point) How many vectors are in Nul(Pc)? Provide a substantive explanation in support of your answer. 1 point) Find the eigenvalues of PC. Provide a substantive explanation in support of your answer. ( ( ( ( e(1 point) For each eigenvalue of Pg, nd two distinct eigenvectors. Provide a substantive explanation in support of your answer. ( ( ( ( ( 1 point) Use the solved example in the annotated slides to nd 133% A- Show all your work step-bystep. 1 point) Find P093. Show all your work step-bystep. 1 point) Find PaA- Show all your work stepby-step. 1 point) If 7/," = 35; i 355, what is [21A? Provide a substantive explanation in support of your answer. 1 point) If 2' = 35f 352', what is [215? Provide a substantive explanation in support of your