Find a general solution formula for the following linear system using the eigenvector method. dx -13 -18 dt 12 -7 Use cl, c2 for the arbitrary constants. You can use the vector field plot above to check the sanity of your answer: Are the arrows ingoing/outgoing consistently with your eigenvalues? Do the eigenvectors look right?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 77E
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Find a general solution formula for the following linear system using the eigenvector method.
dx
-13
-18
dt
-12
-7
Use cl, c2 for the arbitrary constants. You can use the vector field plot above to check the sanity of your answer: Are the arrows ingoing/outgoing
consistently with your eigenvalues? Do the eigenvectors look right?
Transcribed Image Text:Find a general solution formula for the following linear system using the eigenvector method. dx -13 -18 dt -12 -7 Use cl, c2 for the arbitrary constants. You can use the vector field plot above to check the sanity of your answer: Are the arrows ingoing/outgoing consistently with your eigenvalues? Do the eigenvectors look right?
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