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Related lectures (26)
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Orthogonal Projections in Linear Algebra
Explores orthogonal projections, orthonormal bases, and QR factorization in linear algebra.
Singular Values, Fundamental Theorem
Explores the fundamental theorem on singular values and the formation of orthonormal bases from eigenvectors.
Gram-Schmidt Process and QR Decomposition
Covers the Gram-Schmidt process, QR decomposition, orthogonal projection theorem, and matrix formulas.
Projection in Vector Spaces
Explores the generalization of projection in vector spaces and its unique properties, emphasizing its role in finding the closest vector in a subspace.
Isometries in R^n
Explores the standard form of isometries in R^n and the preservation of distances.
Orthogonal Bases in Vector Spaces
Explores orthogonal bases in vector spaces, explaining unique vector representations and spectral decomposition.
Orthogonal Bases in Vector Spaces
Covers the concept of orthogonal bases in vector spaces and Pythagorean theorem applications.
Signal Approximation and Orthogonal Bases
Explores signal approximation, orthogonal bases, Fourier series, correlation, and vector geometry.
Orthogonal Complement and Projection
Covers the concept of orthogonal complement and projection in vector spaces.
Finding Orthogonal/Orthonormal Base: First Step
Introduces the first step in finding an orthogonal/orthonormal base in a vector space.
