Clu Linear Algebra Ch 1 S7 Theorems

Theorem 7

A set containing more than 2 vectors is linearly dependent if and only if at least one vector is a linear combination of the others

Theorem 8

If a set contains more vectors than there are entries in each vector then the set is linearly dependent

Theorem 9

Every set of vectors containing $\vec{0}$ is linearly dependent

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