# Vector Space : Linear Dependence and Null Space

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If there are n vectors v1, v2, v3...vn in E^m, which spans a subspace of dimension k<=n. If k<n, how many different linear dependencies will there be among v1, v2, v3...vn? Can we determine the theorem about the null space and range of a linear transformation about this? (See attachment for full question)

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:39 pm ad1c9bdddfhttps://brainmass.com/math/linear-transformation/vector-space-linear-dependence-null-space-30016

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Linear dependence of vectors and null space are investigated.

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