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Related lectures (29)

Convex Optimization: Linear Algebra Review Log in to Mediaspace to watch this video

Provides a review of linear algebra concepts crucial for convex optimization, covering topics such as vector norms, eigenvalues, and positive semidefinite matrices.

Eigenvalues and Eigenvectors Decomposition Log in to Mediaspace to watch this video

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.

Information Retrieval Basics Log in to Mediaspace to watch this video

Introduces the basics of information retrieval, covering text-based and Boolean retrieval, vector space retrieval, and similarity computation.

Singular Value Decomposition: Fundamentals and Applications Log in to Mediaspace to watch this video

Explores the fundamentals of Singular Value Decomposition, including orthonormal bases and practical applications.

Singular Value Decomposition Log in to Mediaspace to watch this video

Covers the Singular Value Decomposition theorem and its applications in practice.

Spectral Decomposition Log in to Mediaspace to watch this video

Explores spectral and singular value decompositions of matrices.

Polynomial Characteristic: Definition, Properties, and Applications Log in to Mediaspace to watch this video

Covers the definition, properties, and applications of the characteristic polynomial of a matrix.

Matrix Factorization: Least Squares Method Log in to Mediaspace to watch this video

Covers the factorization of a matrix and the least squares method.

Rectilinear Movement: Vectors and Scalars Log in to Mediaspace to watch this video

Explores rectilinear movement, vector algebra, scalar products, and vector decomposition in a three-dimensional space.

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