I am a bit confused how to tell if a set form a subspace. I know the properties just not how to apply them. My question is: Does {(a, 2a, a^2)} form a subspace?
2026-03-26 01:09:18.1774487358
Linear Algebra: Vector Space
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Assuming that the question is
The answer is no, since it is not closed under multiplication by a scalar
$$(1,2,1) \in X$$ $$2 \cdot (1,2,1) = (2,4,2) \not \in X$$