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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)

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

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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)

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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status | not learned | measured difficulty | 37% [default] | last interval [days] | |||
---|---|---|---|---|---|---|---|

repetition number in this series | 0 | memorised on | scheduled repetition | ||||

scheduled repetition interval | last repetition or drill |

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