Linear Algebra
Properties of symmetric matrices
Spectral theorem for symmetric matrices
Orthogonal diagonalization
Principal axes theorem
Quadratic forms
Left singular vectors
Right singular vectors
Singular value matrix
Matrix approximation
Data compression
Principal component analysis
Complex numbers in linear algebra
Complex vector spaces
Hermitian inner products
Hermitian matrices
Unitary matrices
Spectral theory for Hermitian matrices
Generalized eigenspaces
Jordan blocks
Jordan canonical form
Computing Jordan form
Applications and significance
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7. Eigenvalues and Eigenvectors
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1. Foundations of Linear Systems