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Related lectures (24)

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Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.

Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

Covers the process of finding orthogonal bases and spectral decomposition of symmetric matrices.

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

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Explores the standard form of isometries in R^n and the preservation of distances.

Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.

Explores the spectral decomposition of symmetric matrices, including diagonalization and orthogonal basis change matrices.

Introduces orthogonal and symmetric matrices in linear algebra with practical examples.

Explores the properties and applications of orthogonal matrices in linear algebra, focusing on orthogonality and projections.