Concept
Orthogonal transformation
Related lectures (92)
Orthogonality and Scalar Product
Explores orthogonality, scalar product, and orthonormal bases in vector spaces.
Spectral Decomposition
Explores spectral and singular value decompositions of matrices.
Gram-Schmidt Algorithm
Covers the Gram-Schmidt algorithm for orthonormal bases in vector spaces.
Coxeter Groups: Reflections and Fundamental Regions
Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.
Isometries in R^n
Explores the standard form of isometries in R^n and the preservation of distances.
Quadratic Forms and Hecke Operators
Explores quadratic forms, Hecke operators, eigenvalues, and compactly supported functions in matrix theory.
Orthogonal Matrices and Eigenvalues
Explores orthogonal matrices, eigenvalues, and orientation-preserving transformations in linear algebra.
2D Transformations: Linear Maps & Matrices
Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.
Symmetries of Wave Equation
Explores symmetries of the wave equation, linear transformations, and solutions.
Orthogonal Projection Theorems
Covers the theorems related to orthogonal projection and orthonormal bases.