Orthogonal basis

Related lectures (29)

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Covers orthogonal projection, spectral decomposition, Gram-Schmidt process, and matrix factorization.

Explores orthonormal bases in Hilbert spaces, discussing their properties and generation using the Gram-Schmidt method.

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

Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.

Covers the Gram-Schmidt algorithm for orthonormal bases in vector spaces.

Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.

Explores orthogonal projection in Euclidean space, emphasizing uniqueness and calculation methods.

Covers the decomposition of Eisenstein series into orthogonal components and the unitarizability of certain representations.

Explores the uniqueness and properties of orthogonal projection, including decomposition, associated matrix, linearity, and practical examples.