*) Let P₂ be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P₂: B = {−2+1−1², −2+2x−1², −1+1}, C = {2+x= x², a. Find the change of basis matrix from the basis B to the basis C. [id] b. Find the change of basis matrix from the basis C to the basis B. [id] − 2 − 2x + x², −3 − 3x + 2x²}.

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A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

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Q: Consider the basis B = {{2, 1), (3, 1}} for V = R² and let {x1, x2} be the dual basis of B. Then for…

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