im having difficulty because onto have columns of generating set and one to one has columns of linear independence but the way we prove whether a standard matrix has linear independent columns are generating columns are the same.
2026-04-03 07:44:56.1775202296
What is the difference between a linear independent set and a generating set?
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A linearly independent set of vectors is a set of vectors such that none can be written as a non-trivial linear combination of the others, whereas a generating set may have linearly dependent vectors in it, but it has the property that the span (all linear combinations of vectors) makes up the entire space.