MATH 132 - Homework 2 (1) Let V = R. Define a basis v1, v2 of V by vi dual basis of V'. Let v = (2,1). Find o1 (v) and 2 (v). (0,1) and v2 = (1,1). Let g1, 2 be the

Q: 0 0 , V2 1 1. Let vi and H Span{v1, V2, V3}. Note that vi v2 2 2v3 0 V3 5 -1 4 0 2 2] a) Explain why…

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Q: Find the coordinate vector of p relative to the basis S = {P₁, P₂, P3 } for P₂. p = 15 - 20x + 6x²:…

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Q: Represent the vector ⟨16,8,−14⟩ in terms of the ordered basis B={⟨5,−2,−2⟩,⟨1,−4,2⟩,⟨−1,−5,3⟩}.

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Q: 44. (a) Find all vectors v such that (1.2.1) X = (3.L-5) (b) Explain why there is no yector v such…

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Q: Find a basis for the plane 4x + 3y + 5z = 0 in R³.

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Q: Use the function to find the image of v and the preimage of w. T(V₁, V₂, V3) = (v₂ (a) the image of…

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Q: Explain how fixing a basis v1, , Vn of V associates to a quadratic form a corresponding function in…

A: To explain how a basis v1,v2,...,vn associates to a quadratic form of a corresponding function in n…