Linear Algebra and Its Applications · Problem 7.4.9

Linear Programming and Game Theory — Gilbert Strang

Mathematics · iterative-methods-eigenvalue-conditions

Problem

\lambda

is an eigenvalue of

A

, then \underline{\hspace{1cm}} is an eigenvalue of

B = I - A

. The real eigenvalues of

B

have absolute value less than 1 if the real eigenvalues of

A

lie between \underline{\hspace{1cm}} and \underline{\hspace{1cm}}.