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Lecture
Diagonalization in Symmetric Matrices
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Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Symmetric Matrices: Diagonalization and Orthogonality
Explores symmetric matrices, diagonalization, and orthogonality properties, emphasizing simplicity and geometric relationships.
Spectral Decomposition and SVD
Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.
Symmetric Matrices: Diagonalizability and Eigenvectors
Explores the diagonalizability of symmetric matrices and their eigenvectors in an orthonormal basis.
Diagonalization of Matrices
Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.