1. Answer the following questions. Justify your answers a -{^= V1 X= [3]} -3a a. Let...

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1. Answer the following questions. Justify your answers a -{^= V1 X= [3]} -3a a. Let V = R2. Determine if U = AE VA is a subspace of V. a b. Let V=R2. Determine if U = AE VA {xev₁A = [²₁]} is a subspace of V. c. Let P2 (R) be the set of polynomials of degree at most 2 in R. That is, P₂ (R) = {ao + ax + a₂x² | aj R}. Determine if U = {p(x) = P₂ (R) | p'(5) = 1} is a subspaces of P₂ (R). 1. Answer the following questions. Justify your answers a -{^= V1 X= [3]} -3a a. Let V = R2. Determine if U = AE VA is a subspace of V. a b. Let V=R2. Determine if U = AE VA {xev₁A = [²₁]} is a subspace of V. c. Let P2 (R) be the set of polynomials of degree at most 2 in R. That is, P₂ (R) = {ao + ax + a₂x² | aj R}. Determine if U = {p(x) = P₂ (R) | p'(5) = 1} is a subspaces of P₂ (R).

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aNo U Me VIA go is not a subspace of V since it does not contain the zero vector which is a necessar... View the full answer