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Lecture
Diagonalization of Matrices
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Singular Value Decomposition: Applications and Interpretation
Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Symmetric Matrices: Diagonalization
Explores symmetric matrices, their diagonalization, and properties like eigenvalues and eigenvectors.
Orthogonal Projection Theorems
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Symmetric Matrices and Quadratic Forms
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Provides an overview of symmetric matrices, quadratic forms, and their applications in linear algebra and analysis.
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Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.
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Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.
Singular Value Decomposition
Covers the Singular Value Decomposition theorem and its applications in practice.
Diagonalization of Symmetric Matrices
Explores diagonalization of symmetric matrices and their eigenvalues, emphasizing orthogonal properties.