Orthogonal Matrices, Change of Orthonormal Basis - Linear Algebra

Save
6 months ago
85
Health & Science Education linear algebra orthogonal matrices orthonormal basis orthogonal diagonalization of symmetric matrices orthogonal linear algebra orthogonal matrices change of orthonormal basis change of basis linear algebra (field of study)

This video explains what an orthogonal matrix is, including definition, meaning, formula, how to check it with examples (e.g. 2x2 and 3x3) and the condition. It also explains how to derive the an orthogonal transition matrix for changing between orthogonal or orthonormal bases.

0:00 Orthogonal matrices
3:14 Inverse of an orthogonal matrix, properties
7:02 Orthogonal matrices as linear operators
9:46 Orthonormal basis
11:49 Change of orthonormal basis

Loading 1 comment...