Spectrum — Topic Summaries
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Linear Algebra 53 | Eigenvalues and Eigenvectors
Eigenvalues and eigenvectors identify the special directions a linear transformation preserves—up to scaling—when a matrix acts on space. For a...
Linear Algebra 53 | Eigenvalues and Eigenvectors [dark version]
Eigenvalues and eigenvectors identify directions that a linear transformation preserves up to scaling—turning a complicated matrix action into a...
Functional Analysis 33 | Spectrum of Compact Operators [dark version]
Compact operators behave like “infinite-dimensional matrices”: they take bounded sets to sets whose closure is compact, and that finiteness-like...