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Lecture
Singular Value Decomposition: Applications and Interpretation
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Related lectures (21)
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Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Orthogonal Projection Theorems
Covers the theorems related to orthogonal projection and orthonormal bases.
Eigenvalues and Eigenvectors Decomposition
Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.
Singular Value Decomposition: Fundamentals and Applications
Explores the fundamentals of Singular Value Decomposition, including orthonormal bases and practical applications.
Characterization of Invertible Matrices
Explores the properties of invertible matrices, including unique solutions and linear independence.
Singular Value Decomposition: Orthogonal Vectors and Matrix Decomposition
Explains Singular Value Decomposition, focusing on orthogonal vectors and matrix decomposition.
Linear Independence and Basis
Explains linear independence, basis, and matrix rank with examples and exercises.
Orthogonal Families and Projections
Explains orthogonal families, bases, and projections in vector spaces.
Orthogonality and Projection
Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
Linear Algebra Basics
Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.