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.

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 R

W is closed under vector adiition and scalar multiplication.

Hence W is a sub space of V.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: