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The Little Book of Linear Algebra

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468 points scapbi | 1 comments | 02 Sep 25 14:17 UTC | HN request time: 0.2s | source
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jean_lannes ◴[03 Sep 25 00:40 UTC] No.45110970[source]▶
As someone who took a standard undergrad linear algebra course but never really used it in my work, what are some good ways to get acquainted with practical applications of linear algebra?
replies(2): >>45111107 #>>45111642 #
1. JBits ◴[03 Sep 25 02:24 UTC] No.45111642[source]▶
A good use of linear algebra that I'm working with at the moment is the use of splines as a basis for real (vector) functions. After obtaining the matrix/vector representations you can solve for the spline coefficients (and then plot them).

Linear transforms (such as rotations and displacements) in GPU graphics.

Fourier series in signal processing.

JPEG compression.

Obtaining the best fit element in a vector space of curves given data or other constraints.

Understanding autodiff in JAX.

The mathematical definition of a tensor helps develop intuition for manipulating arrays/tensors in array libraries.

Transition matrices of a Markov chain.

PageRank.