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