Determine whether the given set W is a subspace of the vector space V , justify your answer.

Question

Question

(a) V = R² , W = {x = (x1, x2) : x1 · x2 = 0}

(b) V = R² , W = {x = (x1, x2) : x 2 1 + x 2 2 ≤ 1}.

(c) V = R² , W = {x = (x1, x2) : x1 − 2x2 = 0}.

Answer 1

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