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)© BrainMass Inc. brainmass.com September 21, 2018, 10:02 am ad1c9bdddf - https://brainmass.com/math/linear-transformation/vector-space-linear-dependence-null-space-30016
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The vectors ...
Linear dependence of vectors and null space are investigated.