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Lecture
Orthogonal Diagonalization
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Related lectures (27)
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Orthogonal Base Change
Explores orthogonal base change in linear algebra, focusing on matrices and transformations.
Orthogonal Matrices & Spectral Decomposition
Covers the process of finding orthogonal bases and spectral decomposition of symmetric matrices.
Orthogonal Matrices: Properties and Applications
Covers the properties and applications of orthogonal matrices.
Calcul de valeurs propres
Covers the calculation of eigenvalues and eigenvectors, emphasizing their significance and applications.
Spectral Theorem Recap
Revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms.
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.
Diagonalization of Symmetric Matrices
Explores the diagonalization of symmetric matrices through orthogonal decomposition and the spectral theorem.
Symmetric Matrices: Diagonalizability and Eigenvectors
Explores the diagonalizability of symmetric matrices and their eigenvectors in an orthonormal basis.
Spectral Decomposition and SVD
Explores spectral decomposition of symmetric matrices and Singular Value Decomposition (SVD) for matrix decomposition.
