Projections and Symmetries

Related lectures (30)

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

Explores parametric equations in 2D coordinates and their geometric interpretations in different reference frames.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores glide reflection in analytical geometry, emphasizing fixed points and reflection matrices.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

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

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

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

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Page 2 of 2