https://gdpark.blog/tags/matrices/Recent content in Matrices on gdpark.blogHugoenTue, 02 Feb 2016 00:00:00 +0000https://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-08-change-of-basis/Fri, 22 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-08-change-of-basis/Same linear map, totally different matrix depending on your basis — let’s dig into why that happens and how A and A’ are actually related.https://gdpark.blog/posts/linear-algebra-09-systems-of-linear-equations-and-gaussian-elimination/Fri, 22 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-09-systems-of-linear-equations-and-gaussian-elimination/A casual walkthrough of systems of linear equations — from middle-school basics all the way up to matrix form, homogeneous vs. non-homogeneous, and Gaussian elimination.https://gdpark.blog/posts/linear-algebra-10-elementary-row-operation-matrices-erom/Sat, 23 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-10-elementary-row-operation-matrices-erom/Back at it with the general solution of AX = B — recapping RREF, breaking down dependent vs. independent variables, and chasing down X_0 and ker A.https://gdpark.blog/posts/linear-algebra-22-is-further-block-decomposition-always-possible/Tue, 02 Feb 2016 00:00:00 +0000https://gdpark.blog/posts/linear-algebra-22-is-further-block-decomposition-always-possible/Poking at a special case where the minimal and characteristic polynomials match as a power of an irreducible polynomial, and what that tells us about block decomposition.