Exercise 5.Sketch the phase portrait and classify the fixed point of the followinglinear systems (using eigenvalues and eigenvectors). If the eigenvectors are real indicate themin your plot.• i = y, ÿ = –2x – 3y• à = 3x – 4y, ÿ = x – Y• i = 5x + 2y, ý = -17x – 5y%3D• i = 4x – 3y, ý = 8x – 6y• i = 5x + 10y, ÿ = –x – y• i = –3x +2y, ÿ = x – 2y• i = -3x + 4y, ý = –2x + 3y• i = y, ÿ = –x – 2y

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Description: Exercise 5.Sketch the phase portrait and classify the fixed point of the followinglinear systems (using eigenvalues and eigenvectors). If the eigenvectors are real indicate themin your plot.• i = y, ÿ = –2x – 3y• à = 3x – 4y, ÿ = x – Y• i = 5x + 2y,

Answered: * = y, ÿ = –2x – 3y

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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Exercise 5.
Sketch the phase portrait and classify the fixed point of the following
linear systems (using eigenvalues and eigenvectors). If the eigenvectors are real indicate them
in your plot.
• i = y, ÿ = –2x – 3y
• à = 3x – 4y, ÿ = x – Y
• i = 5x + 2y, ý = -17x – 5y
%3D
• i = 4x – 3y, ý = 8x – 6y
• i = 5x + 10y, ÿ = –x – y
• i = –3x +2y, ÿ = x – 2y
• i = -3x + 4y, ý = –2x + 3y
• i = y, ÿ = –x – 2y

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