Question: (SNS) 2. Consider the ordered bases 5 = {1, {$2} and B = {1, t 1, t2 2t+1} in P2, the vector space of polynomials

(SNS) 2. Consider the ordered bases 5 = {1, {$2} and B = {1, t 1, t2 2t+1} in P2, the vector space of polynomials of degree g 2. (a) Find the transition matrix, 3P3 from B to 8. 4 (1)) Find the transition matrix: BPS from E to B. 4 Page 2 of 2 (c) Find the coordinate vector, [p(t)]s, of p(t) = 1 + t + t relative to B. (d) Find the &-matrix of the linear transformation T : P2 - P2, T(p(t)) = p'(t) + 2p(t)

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