10 -20 8-18/ Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) À =| x² - (¹0 K₂ = X Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenval K₁ = Find the general solution of the given system.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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Consider the following system.
(¹0
10-20
8 -18,
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
À =
X' =
K₂
x
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
K₁ =
Find the general solution of the given system.
X(t) =
Transcribed Image Text:Consider the following system. (¹0 10-20 8 -18, Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) À = X' = K₂ x Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = Find the general solution of the given system. X(t) =
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