Answer to Question #338741 in Linear Algebra for Mpho

Question

Consider the vector space V = C

2 with scalar multiplication over the real numbers R and let

W = {(z1, z2) ∈ V : z2 = z1 + 2z1}.

1.1 Use the Subspace Test to show that W is a subspace of V.

1.2 Find a basis for W.

1.3 Explain whether W is a subspace over C

Answer 1

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