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A vector space V and a subset S are given. Determine if S is a subspace...

A vector space V and a subset S are given. Determine if S is a subspace of V by determining which conditions of the definition of a subspace are satisfied. (Select all that apply.)

V = C[−4, 4] and S = P.

S contains the zero vector.

S is closed under vector addition.

S is closed under scalar multiplication.

None of these

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