Consider the 2D linear system: 5 P If A has even trace in the interval [2, 20] and strictly positive odd determinant, how many degenerate nodes (i.e. 2 repeated eigenvalues) does the system have? 20 10 4 10 dx Oo = Ax. =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
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Consider the 2D linear system: = Ax.
dx
dt
If A has even trace in the interval [2, 20] and strictly positive odd determinant, how
many degenerate nodes (i.e. 2 repeated eigenvalues) does the system have?
5
1
20
10
4
10
O
Transcribed Image Text:Consider the 2D linear system: = Ax. dx dt If A has even trace in the interval [2, 20] and strictly positive odd determinant, how many degenerate nodes (i.e. 2 repeated eigenvalues) does the system have? 5 1 20 10 4 10 O
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