https://gdpark.blog/tags/linear-independence/Recent content in Linear-Independence on gdpark.blogHugoenSat, 23 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-02-linear-dependence-and-linear-independence/Tue, 19 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-02-linear-dependence-and-linear-independence/Breaking down linear combinations, span, and what it actually means for vectors to be linearly independent — all in plain terms.https://gdpark.blog/posts/linear-algebra-03-basis/Tue, 19 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-03-basis/So a basis is literally the intersection of spanning sets and linearly independent sets — and there are TONS of them, plus order actually matters!!https://gdpark.blog/posts/linear-algebra-11-the-rank-theorem/Sat, 23 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-11-the-rank-theorem/We poke at whether RREF is unique, then laser in on invertible matrices to show their RREF has to be the identity — and that’s the Rank Theorem taking shape!