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Lecture
Diagonalization of Symmetric Matrices
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Spectral Decomposition of Symmetric Matrices
Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.
Symmetric Matrices: Diagonalization
Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.
Linear Algebra: Singular Value Decomposition
Delves into singular value decomposition and its applications in linear algebra.
Diagonalization of Symmetric Matrices
Explores the diagonalization of symmetric matrices and the orthogonality of eigenvectors.
Subspaces, Spectra, and Projections
Explores subspaces, spectra, and projections in linear algebra, including symmetric matrices and orthogonal projections.
Spectral Decomposition and SVD
Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
Diagonalization in Symmetric Matrices
Explores diagonalization in symmetric matrices, emphasizing orthogonality and orthonormal bases.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.
Diagonalization of Symmetric Matrices
Covers the diagonalization of symmetric matrices and the spectral theorem.