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Related lectures (26)
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Jordan decomposition
Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.
Convex Optimization: Linear Algebra Review
Provides a review of linear algebra concepts crucial for convex optimization, covering topics such as vector norms, eigenvalues, and positive semidefinite matrices.
Singular Value Decomposition
Introduces Singular Value Decomposition (SVD) in linear algebra, covering matrix factorization and properties with practical examples.
Singular Value Decomposition: Fundamentals and Applications
Explores the fundamentals of Singular Value Decomposition, including orthonormal bases and practical applications.
Matrix Inversion
Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
Linear Algebra: Bases and Transformations
Covers bases, transformations, and matrix decompositions in linear algebra.