Usually means: Eigenvalues and eigenvectors diagonalize matrices.
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We found 4 dictionaries that define the word spectral theorem:

General (2 matching dictionaries)
  1. spectral theorem: Wiktionary
  2. Spectral theorem: Wikipedia, the Free Encyclopedia

Science (2 matching dictionaries)
  1. Spectral Theorem: Eric Weisstein's World of Mathematics
  2. spectral theorem, spectral theorem: PlanetMath Encyclopedia

Definitions from Wiktionary (spectral theorem)

noun:  (mathematics) a theorem providing conditions under which an operator or matrix can be diagonalized

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