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Lecture
Decomposition Spectral: Symmetric Matrices
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Spectral Decomposition and SVD
Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.
Diagonalization of Matrices
Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.
Subspaces, Spectra, and Projections
Explores subspaces, spectra, and projections in linear algebra, including symmetric matrices and orthogonal projections.
Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Linear Systems: Diagonal and Triangular Matrices, LU Factorization
Covers linear systems, diagonal and triangular matrices, and LU factorization.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.