Orthogonal Matrices

by Yehor Korotenko

A 2-page PDF visual explanation of Unitary and Orthogonal matrices from the Numerical Linear Algebra course, titled "Unitary and Orthogonal matrices" by Yehor Korotenko. Covers: 1. Introduction (definition: a matrix A is orthogonal/unitary if and only if AA* = A*A = I, i.e. A* = A⁻¹), 2. Intuition and Interpretation (geometric interpretation with visual diagrams showing how orthogonal matrices preserve the inner product and represent rotations/reflections).