Question: (a) Prove that the set of all vectors (x, y,z)T such that x -y + 4z = 0 forms a subspace of R3. (b) Explain

(a) Prove that the set of all vectors (x, y,z)T such that x -y + 4z = 0 forms a subspace of R3.
(b) Explain why the set of all vectors that satisfy x - y + 4z = 1 does not form a subspace.

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