Explore BrainMass

Vector Space : Linear Dependence and Null Space

If there are n vectors v1, v2, 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, Can we determine the theorem about the null space and range of a linear transformation about this? (See attachment for full question)


Solution Summary

Linear dependence of vectors and null space are investigated.