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Lecture
Decomposition Spectral: Symmetric Matrices
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Related lectures (26)
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Symmetric Matrices: Properties and Decomposition
Covers examples of symmetric matrices and their properties, including eigenvectors and eigenvalues.
Diagonalization of Symmetric Matrices
Explores the diagonalization of symmetric matrices and the orthogonality of eigenvectors.
SVD: Singular Value Decomposition
Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
Singular Value Decomposition
Covers the Singular Value Decomposition theorem and its application in decomposing matrices.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
Linear Algebra: Singular Value Decomposition
Delves into singular value decomposition and its applications in linear algebra.
Symmetric Matrices and Eigenvectors
Covers the concept of symmetric matrices, orthogonal bases, and eigenvectors.
Diagonalization in Symmetric Matrices
Explores diagonalization in symmetric matrices, emphasizing orthogonality and orthonormal bases.
Diagonalization of Symmetric Matrices
Covers the diagonalization of symmetric matrices and the spectral theorem.
Diagonalization of Symmetric Matrices
Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.