Orthogonal basis

Related lectures (29)

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Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explores the fundamental theorem on singular values and the formation of orthonormal bases from eigenvectors.

Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.

Covers the analytical study of space, focusing on points, lines, and planes.

Explores polynomial approximation with orthonormal bases and orthogonal projection methods.

Explores bases in vector spaces, including linear combinations, orthogonal bases, and basis transformations using rotation matrices.

Explains the concept and calculations of orthogonal bases for subspaces in linear algebra.

Covers the concept of an orthogonal basis in a vector space.

Covers finding the best quadratic approximation for a given function in a continuous space.

Covers the Gram-Schmidt orthogonalization process and vector projections in a vector space.