B. Determine which of the following sets W is a subspace of Rª for the indicated value of n. Justify your answer. -{] а. W = :x is a scalar 2:r + Y b. W= I – Y :T, y are scalars I+y T+1 c. W= :x is a scalar -

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Q: Show that the set of all second order polynomials, f(x) = ax² + bx+c, is a vector space.

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Q: I) Show that W = {(a, b,a-b): a, b e R) is a subspace of R³ and find its dimension.

A: W = {(a, b, a - b) : a, b ∈ R} Clearly, W is a subset of R3.     Let, (a1, b1, a1 - b1), (a2, b2, a2…

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Q: Determine whether the following sets with the corresponding vector addi- tion and scalar…

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Q: 1. Determine whether w - {[:]•r:a-4-0} X1 E R? : : x1 – 23 = X2 is a subspace of R?.

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Q: Show that the set T= {(a, b, c, d): 2a-3b+Sc-d=0} is a subspace of R'.

A: Given T=abcd∈ℝ4:2a-3b+5c-d=0 Let A be a 1×4 matrix defined by: A=2-35-1 Then the equation…

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A: Note: As per our guidelines, we can answer the first question. Please repost the remaining…

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A: See the detailed solution below.

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A: I have proved T is a subspace

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A: 7 (i) Given, u, v be linearly independent vectors in a vector space.

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A: The main objective is to check {p1,p2,p3} linear independent and basis of P2.

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Q: 3c

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A: Our claim is that given subset W of V=R3 is not a subspace of V.Where   W=(a,b,c): a2+b2+c2≤1

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Q: im(T1 + 14T) im(14T† + T2).

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Q: |412 = -a}, verify that S'is a 7. Let S subspace.

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A: Given W the set of all ist degree polynomials such that           p=p2  Let p= 1  ⇒12= 1  Thus p=p2…

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Q: Q3) Determine whether V is a vector space with the following operations. If it is, verify each…

A: V does not form vector space, because