Match a linear system -2 with one of the phase plane direction fields below: A B C D (The blue lines are the arrow shafts, and the black dots are the arrow tips.) Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are real or complex and positive or negative. If you se Trace-Determinant plane, give a brief explanation about eigenvalues. CS Scanned with CamScanner

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 29EQ
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Match a linear system
[
with one of the phase plane direction fields below:
?iい
アァンリ ノ
C
D
(The blue lines are the arrow shafts, and the blnck dots are the Arrow tips.) Note: To
solve this problem, you only need to compute eigenvalues. In fact, it is enough to just
compute whether the cigenvalues are real or complex and positive or negative. If you
use Trace-Determinant plane, give a brief explanation about eigenvalues.
CS Scanned with CamScanner
Transcribed Image Text:Match a linear system [ with one of the phase plane direction fields below: ?iい アァンリ ノ C D (The blue lines are the arrow shafts, and the blnck dots are the Arrow tips.) Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the cigenvalues are real or complex and positive or negative. If you use Trace-Determinant plane, give a brief explanation about eigenvalues. CS Scanned with CamScanner
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