Explanations Section: Numerical Linear Algebra

Adjoint Visually

by Yehor Korotenko

An interactive web visualization titled "The Adjoint — A Visual Exploration" by Yehor Korotenko. Explains the adjoint operator A* through the core identity ⟨x, Ay⟩ = ⟨A*x, y⟩. Features: step-by-step conceptual explanation (inner product meaning, adjoint definition, conjugate transpose formula, Hermitian matrices), an interactive 2D demo where users can drag vectors x and y and adjust matrix entries to visually verify that both inner products remain equal. Supports General and Hermitian (A* = A) matrix modes.