3 ms·
Any sources that discuss this viewpoint wrt the determinant? Seems I'm still at the "seemingly-arbitrary number" stage.
by jackthetab 2y ago
Any sources that discuss this viewpoint wrt the determinant? Seems I'm still at the "seemingly-arbitrary number" stage.
- traes 2y agoThe entire 3blue1brown series[0] on linear algebra is well worth watching, it has really intuitive graphical explanations of a bunch of concepts. Here's the one on determinants in particular[1]. TL;DW the determinant represents how much you scale the area/volume/hypervolume (depending on dimension) of a shape by applying a matrix transformation to each point. [0] https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab&index=2 https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQ... [1] https://www.youtube.com/watch?v=Ip3X9LOh2dk&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab&index=6 https://www.youtube.com/watch?v=Ip3X9LOh2dk&list=PLZHQObOWTQ...
- exmadscientist 2y agoIf you like textbooks, try Section 1.3 of Artin's Algebra (find it at https://media.githubusercontent.com/media/storagelfs/books/main/Applied%20Mathematics/Algebra/Artin.%20Algebra.%201991.pdf https://media.githubusercontent.com/media/storagelfs/books/m... among others). Do be warned that Algebra is a... high-octane... text written for serious math students and can be... powerful.