Review Note
Last Update: 09/09/2024 04:04 PM
Current Deck: 1Universidad::Archivado.::Linear Algebra
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7.31 Complex Spectral Theorem
Mathjax
\[\displaylines{
\text{Suppose } \text{F = C} \text{ and } T \in \mathcal{L}(V)\\
\text{Then the following statements are equivalent:} }\]
Back
\[\displaylines{
(a) T \text{ is normal.} \\
(b) T \text{ has a diagonal matrix with respect to some orthonormal basis of } V \\
(c) V \text{ has an orthonormal basis consisting of eigenvectors of } T.
}\]
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