QC @QiaochuYuan 2019-11-26
there should be standard notation for “the matrix of a linear transformation T : V → W with respect to a basis B of V and a basis C of W” and it should be _C[T]_B
pdf i wrote about this when TA’ing a linear algebra class: https://math.berkeley.edu/~qchu/54/Matrices.pdf…
QC @QiaochuYuan 2019-11-26
also coordinate-free linear algebra should be taught with string diagram notation, like this:
https://qchu.wordpress.com/2012/11/05/introduction-to-string-diagrams/…
https://qchu.wordpress.com/2012/11/06/string-diagrams-duality-and-trace/…
QC @QiaochuYuan 2019-11-26
fun fact: @EdwardTufte came across these blog posts once and liked them so much he sent me free copies of his books on data visualization, none of which i have read (sorry!)
2016-02-21
Quilt of string theorydiagrams
“living in plane,not line”
informal+precise
https://qchu.wordpress.com/2012/11/05/introduction-to-string-diagrams/…
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