## Is W is a subspace of V? If not, state why. Assume that V has the standard operations. (Select all that apply.) W = {(x1, x2, x3, 0):

Question

Is W is a subspace of V? If not, state why. Assume that V has the standard operations. (Select all that apply.)

W = {(x1, x2, x3, 0): x1, x2, and x3 are real numbers}

V = R4

A) W is a subspace of V.

B) W is not a subspace of V because it is not closed under addition.

C) W is not a subspace of V because it is not closed under scalar multiplication.

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2021-10-08T13:25:21+00:00
2021-10-08T13:25:21+00:00 1 Answer
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## Answers ( )

Answer:A) W is a sub space of V

Step-by-step explanation:given that and

W is a subspace of V because of the follwing.

let ∈ and ∈

now ∈

since are all elements of

RWis closed under vector adiition and scalar multiplication.Hence

Wis a sub space ofV.