https://gdpark.blog/tags/basis/Recent content in Basis on gdpark.blogHugoenSun, 24 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-04-matrices-and-matrix-multiplication/Wed, 20 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-04-matrices-and-matrix-multiplication/We dive into linear algebra by unpacking functions as set mappings, then zoom in on linear mappings and how they all secretly boil down to matrices.https://gdpark.blog/posts/linear-algebra-13-similar-matrices/Sun, 24 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-13-similar-matrices/Before we can actually crunch a determinant, we load up on similar matrices — plus why det A = 0 is the snap-decision test for invertibility.