Let P₂ denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P2? D. {p(t) | p' (t) is constant} OE. {p(t) | Sp(t)dt = 0} ○F. {p(t) | p' (t) + 6p(t) + 2 = 0}

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Q: 3. Let W = {(x,y,z): x? + y? = z}. Is W a subspace of V = R3? %3D

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Q: Q.4 Show that U {(x, -x) |x in R} is a subspace of R. %3D

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A: Here i am using linear combination and then we saw the relation between the coordinates.

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Q: Let P₂ denote the vector space of polynomials of degree up to 2. Which of the following subsets of…

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