Question:

Let V be the vector space R³. (a) Let W = {(x, y, z) = R³ :

Last updated: 7/11/2022

Let V be the vector space R³. (a) Let W = {(x, y, z) = R³ :

Let V be the vector space R³. (a) Let W = {(x, y, z) = R³ : z = x + y}. Is W a subspace of V? Give reasons. (b) Let U = {(x, y, z) = R³ : z = x²} Is U a subspace of V? Give reasons.