Q2 (a) Let A € Mnxn (F). Prove that if A is invertible and is an eigenvector of A, then is an eigenvector of A¹. How are
Posted: Thu Jun 30, 2022 9:33 pm
Q2 (a) Let A € Mnxn (F). Prove that if A is invertible and is an eigenvector of A, then is an eigenvector of A¹. How are the corresponding eigenvalues related? (b) Let A € Mnxn (F). Let u and be eigenvectors of A with eigenvalues A₁ and X2, respectively. Prove that if X₁ X2, then and are not parallel.