The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x' = Ax. x' = x(t) = 49 10-20 -45-6 20 x; λ=1, 4, 4 90 20 36

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 7E
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The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x' = Ax.
x(t):
=
49 10 - 20
-45-6 20 x; λ=1, 4, 4
90 20 - 36
Transcribed Image Text:The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x' = Ax. x(t): = 49 10 - 20 -45-6 20 x; λ=1, 4, 4 90 20 - 36
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