Linear Algebra and Geometry
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I have been writing about linear algebra almost non-stop for the past two months to organize the best possible "playlist" of topics that cover a linear algebra course. It's a hard problem, this linearization of a graph of dependencies into a stream of. Simoncelli has a very good geometrical take on the problem. He manages to cover all the essential topics in 10 pages. All the essential topics? I miss eigenvalues and probably determinants as a stepping stone to that.
Linear algebra is the branch of mathematics concerning linear equations such as. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry , including for defining basic objects such as lines , planes and rotations. Also, functional analysis may be basically viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and engineering areas, because it allows modeling many natural phenomena, and efficiently computing with such models. For nonlinear systems , which cannot be modeled with linear algebra, linear algebra is often used as a first-order approximation.