Let W be the vector space of all polynomials in P2 with zero constant term. That is, W = {ax² + bx : a, b = R}. E Let L P₁ → W be the function defined by L(ax + b) = ax² + bx for all polynomials ax + b € P₁. (a) Show that L is a linear transformation. (b) Prove that T is an isomorphism. (c) Use (b) to conclude that W≈ P₁. Find dim W without looking for a basis for W.

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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