The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. x'1 = 9x, + 9x2 + 4x3, x'2 = - 10x, – 10x2 - 9x3, x'3 = 10x1 + 10×2 + 9x3 What is the general solution in matrix form? x(t) =

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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The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system.
x'1 = 9x, + 9x2 + 4x3., x'2 = - 10x, - 10x2 - 9x3, x'3 = 10x, + 10x2 + 9x3
What is the general solution in matrix form?
x(t) =O
Transcribed Image Text:The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find a general solution of the system. x'1 = 9x, + 9x2 + 4x3., x'2 = - 10x, - 10x2 - 9x3, x'3 = 10x, + 10x2 + 9x3 What is the general solution in matrix form? x(t) =O
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