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 = 5x, + 4x2 + 4x3, x'2 = - 7x, - 6x2 - 4x3, x'3 = 7x, + 7x2 + 5x3 What is the general solution in matrix form? x(1) =O

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 = 5x, + 4x2 + 4x3, x'2 = - 7x1 - 6x2 - 4x3, x'3 = 7x, + 7x2 + 5x3
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 = 5x, + 4x2 + 4x3, x'2 = - 7x1 - 6x2 - 4x3, x'3 = 7x, + 7x2 + 5x3 What is the general solution in matrix form? x(t) =O
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