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5.W.2 More practice. For each matrix A below, list the complex eigenvalues. The linear transfor- mation of multiplication by A is a composition of a rotation and a scaling. Give the angle of the rotation, where - < 0 ≤ π, and give the scale factor r. Classify the origin in the corresponding dynamical system as a stable or unstable equilibrium. a) b) [-√3/2-1/2 √3-1 1 -√3 [³1/3] -1 -√3 .2 .2 -.2 .2 d)

5.W.2 More practice. For each matrix A below, list the complex eigenvalues. The linear transfor- mation of multiplication by A is a composition of a rotation and a scaling. Give the angle of the rotation, where - < 0 ≤ π, and give the scale factor r. Classify the origin in the corresponding dynamical system as a stable or unstable equilibrium. a) b) [-√3/2-1/2 √3-1 1 -√3 [³1/3] -1 -√3 .2 .2 -.2 .2 d)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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pls solve all parts of this ques from (a)-(d) don't do just 1st part give downvote
5.W.2 More practice. For each matrix A below, list the complex eigenvalues. The linear transfor- mation of multiplication by A is a composition of a rotation and a scaling. Give the angle 0 of the rotation, where -T < 0 < T, and give the scale factor r. Classify the origin in the corresponding dynamical system as a stable or unstable equilibrium. V3 a) V3 -V3 b) -/13 -V3/2 -1/2 d) 1/2 -1 1 .2 .2 c) -V3/2 -1 -.2 .2
Transcribed Image Text:5.W.2 More practice. For each matrix A below, list the complex eigenvalues. The linear transfor- mation of multiplication by A is a composition of a rotation and a scaling. Give the angle 0 of the rotation, where -T < 0 < T, and give the scale factor r. Classify the origin in the corresponding dynamical system as a stable or unstable equilibrium. V3 a) V3 -V3 b) -/13 -V3/2 -1/2 d) 1/2 -1 1 .2 .2 c) -V3/2 -1 -.2 .2
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