i = ( Find the eigenvalues and eigenvectors of the coefficient matrix A. 31 X₁ 7₁ I₁ dt and ₂: -17 -52 8 23, 18 -B . in Note: When Webwork checks whether eigenvectors and eigenvalues are correct, ALL eigenvalues and eigenvectors are evaluated at once. So individual eigenvectors and eigenvalues won't be marked correct unless all the eigenpairs are correct. Sketch a phase portrait. Solve the system given initial conditions x₁(0)=0, x₂(0) = -1.

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 30E
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X₁
=
Consider the following system:
Find the eigenvalues and eigenvectors of the coefficient matrix A.
V₁
|x₁ =
I2
=
dt
-X
and X2₂
=
Sketch a phase portrait.
Solve the system given initial conditions ₁ (0) = 0, x₂(0)
=
-17 8
-52 23
-1.
V₂
Note: When Webwork checks whether eigenvectors and eigenvalues are correct, ALL eigenvalues and eigenvectors are evaluated at once. So
individual eigenvectors and eigenvalues won't be marked correct unless all the eigenpairs are correct.
I
=
Transcribed Image Text:X₁ = Consider the following system: Find the eigenvalues and eigenvectors of the coefficient matrix A. V₁ |x₁ = I2 = dt -X and X2₂ = Sketch a phase portrait. Solve the system given initial conditions ₁ (0) = 0, x₂(0) = -17 8 -52 23 -1. V₂ Note: When Webwork checks whether eigenvectors and eigenvalues are correct, ALL eigenvalues and eigenvectors are evaluated at once. So individual eigenvectors and eigenvalues won't be marked correct unless all the eigenpairs are correct. I =
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