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Eigenvalues are a topic in linear algebra. They're coefficients you can put in front of some matrices or vectors that change their magnitude. Linear Algebra wa
by MrLeap 2y ago
Eigenvalues are a topic in linear algebra. They're coefficients you can put in front of some matrices or vectors that change their magnitude.
Linear Algebra was the most useful and fun math class I took in college. Highly recommended if you ever wanna do gamedev. It's more approachable than you probably think.
For me, when people start talking about differential equations, specifically the symbols you'll see in a wikipedia article about Navier Stokes equations, I'm just a business-rule caveman with a little linear algebra zug zug.
- vector_spaces 2y ago> Eigenvalues are a topic in linear algebra. They're coefficients you can put in front of some matrices or vectors that change their magnitude. Multiplying a vector or a matrix by any nonunit scalar changes its magnitude (hence scalar!! i.e. something that scales). Not all scalars are eigenvalues. So this isn't quite right Think about it geometrically instead. A linear operator transforms a space. Geometrically the transformation can be one or more of stretching, compressing, or rotating (taking shearing to be a kind of stretching). The directions in the space which remain the same other than having been scaled by some factor are the eigenvectors of the transformation. The scaling factor of one of those such directions is its eigenvalue.
- Elucalidavah 2y ago> when people start talking about differential equations It's not like you are going to solve those analytically. Implement a couple numerical solvers for things like Navier–Stokes and you'll see that differential equations is just obscenely compressed code.