Math Notes

University Mathematics

Overview Concept Symmetric and Hermitian Matrices Concept Jordan Normal Form Concept Orthogonal Diagonalization Concept Minimal Polynomial Concept Positive Definite Matrices Theorem The Spectral Theorem Theorem Jordan Decomposition Theorem Theorem Singular Value Decomposition Proof Proof: The Spectral Theorem

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Spectral Theorem

Spectral Theorem

Concepts

Symmetric and Hermitian Matrices Jordan Normal Form Orthogonal Diagonalization Minimal Polynomial Positive Definite Matrices

Theorems

The Spectral Theorem Jordan Decomposition Theorem Singular Value Decomposition

Proofs

Proof: The Spectral Theorem

Mathematics Lecture Notes