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Lecture
Diagonalization of Symmetric Matrices
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Linear Algebra: Normal Equations and Symmetric Matrices
Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.
Symmetric Matrices: Diagonalization and Orthogonality
Explores symmetric matrices, diagonalization, and orthogonality properties, emphasizing simplicity and geometric relationships.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Diagonalization in Symmetric Matrices
Explores diagonalization in symmetric matrices, emphasizing orthogonality and orthonormal bases.
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 importance of Singular Value Decomposition.
Linear Algebra Basics: Vector Spaces, Transformations, Eigenvalues
Covers fundamental linear algebra concepts like vector spaces and eigenvalues.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
Diagonalization of Symmetric Matrices
Explores the diagonalization of symmetric matrices and the orthogonality of eigenvectors.
Canonical Correlation Analysis: Overview
Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.
