Ivan Shishkin, Birch Grove

Spectral Theorem

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6 revisions

Revision 2358

8/26/2026, 6:15:55 AM · Anduril

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domainLinear algebraEuclidean vector space

Revision 2307

8/25/2026, 12:22:04 PM · Anduril

Updated linked exercises

linked exercisesEigenvalues of positive matricesEigenvalues of positive matrices, Step by step proof of the spectral theorem

Revision 2306

8/25/2026, 12:13:08 PM · Anduril

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1In finite dimension, a self-adjoint operator can be diagonalized in a unitary basis.
1In finite dimension, a real self-adjoint operator can be diagonalized in a unitary basis.

Revision 2302

8/25/2026, 12:04:58 PM · Anduril

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1A real symmetric matrix is diagonalizable.
1In finite dimension, a self-adjoint operator can be diagonalized in a unitary basis.

Revision 2300

8/25/2026, 11:56:11 AM · Anduril

Updated linked exercises

linked exercisesNoneEigenvalues of positive matrices

Revision 2296

8/25/2026, 11:42:47 AM · Anduril

Concept created

A real symmetric matrix is diagonalizable.