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If you want to get an intuitive, visual understanding of linear algebra -- including eigenvectors/eigenvalues -- 3blue1brown's playlist on the subject is just .
by daeken 8y ago
If you want to get an intuitive, visual understanding of linear algebra -- including eigenvectors/eigenvalues -- 3blue1brown's playlist on the subject is just ... perfect. https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab https://www.youtube.com/watch?v=fNk_zzaMoSs&list=PLZHQObOWTQ...
- Koshkin 8y agoProblem with visual understanding of linear algebra is that it is no understanding at all when it comes to linear spaces over the complex numbers (which are an important tool in quantum mechanics, for example) or infinite-dimensional spaces. Attempts (or the habit) to use the intuition gained when being exposed to an elementary examples often lead to gross misunderstanding and logical errors.
- eigenloss 8y agoIt seems like you're suggesting the added complexity of complex numbers makes visual understanding unhelpful; do you care to explain why visualizing complex numbers or multidimensional spaces is so impossible?