If U is a subset of V, then to check that U is a subspace of V we need only check that U satisfies the following:
Answer
i) 0 \in U. (additive identity)
ii) for u, v \in U, then u+v \in U. (closed under addition)
iii) for u \in U and a \in U, then au \in U. (closed under scalar multiplication)
Question
If U is a subset of V, then to check that U is a subspace of V we need only check that U satisfies the following:
Answer
?
Question
If U is a subset of V, then to check that U is a subspace of V we need only check that U satisfies the following:
Answer
i) 0 \in U. (additive identity)
ii) for u, v \in U, then u+v \in U. (closed under addition)
iii) for u \in U and a \in U, then au \in U. (closed under scalar multiplication)
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pdf
owner: eshi - (no access) - Sheldon_Axler_Linear_Algebra_Done_Right.pdf, p27
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