Indefinite orthogonal group

Related lectures (26)

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

Covers the decomposition of symmetric matrices into eigenvalues and eigenvectors.

Explores symmetries of the wave equation, linear transformations, and solutions.

Explores orthogonal matrices, eigenvalues, and orientation-preserving transformations in linear algebra.

Covers homogeneous spaces, group actions, and separating quotient spaces in mathematics.

Explores norms, orthogonality, and the Pythagorean theorem in vector spaces.

Covers the method of diagonalizing a symmetric matrix using an orthogonal matrix.

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

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

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