(a) Determine the eigenvalues in terms of a. (b) Find the critical value or values of a where the qualitative nature of the phase portrait for th system changes. (c) Draw a phase portrait for a value of a slightly below, and for another value slightly above, ea critical value. 13. x' = (91) × X

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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(a) Determine the eigenvalues in terms of a.
(b) Find the critical value or values of a where the qualitative nature of the phase portrait for the
system changes.
(c) Draw a phase portrait for a value of a slightly below, and for another value slightly above, each
critical value.
13. x'
=
(92)x
X
Transcribed Image Text:(a) Determine the eigenvalues in terms of a. (b) Find the critical value or values of a where the qualitative nature of the phase portrait for the system changes. (c) Draw a phase portrait for a value of a slightly below, and for another value slightly above, each critical value. 13. x' = (92)x X
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