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 February 24, 2021, 2:34 pm ad1c9bdddf
Please see the attached file for the complete solution.
Thanks for using BrainMass.
The vectors ...
Linear dependence of vectors and null space are investigated.