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eigenspaces (mander.xyz)

submitted 5 months ago by [email protected] to c/[email protected]

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[–] [email protected] 4 points 5 months ago (1 children)

After having looked them up they don't seem that bad. Am I missing something?

[–] [email protected] 3 points 5 months ago* (last edited 5 months ago)

Eigenvectors, values, spaces etc are all pretty simple as basic definitions. They just turn out to be essential for the proofs of a lot of nice results in my opinion. Stuff like matrix diagonalization, gram schmidt orthogonalization, polar decomposition, singular value decomposition, pseudoinverses, the spectral theorem, jordan canonical form, rational canonical form, sylvesters law of inertia, a bunch of nice facts about orthogonal and normal operators, some nifty eigenvalue based formulas for the determinant and trace etc.