Linear Algebra and Its Applications · Problem 7.2.5

Computations with Matrices — Gilbert Strang

Mathematics · matrix-norm-eigenvalues

Problem

Show that if λ\lambda is any eigenvalue of AA, Ax=λxAx = \lambda x, then ∣λ∣≤∥A∥|\lambda| \leq \|A\|.

Related theory

Browse the problem library