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. ×₁ = 9x1 + 3x2 + 9x3, x2' = 3x₁ + 15×2 + 3x3, x3' = 9x1 + 3x2 +9x3 What is the general solution in matrix form? x(t) =
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. ×₁ = 9x1 + 3x2 + 9x3, x2' = 3x₁ + 15×2 + 3x3, x3' = 9x1 + 3x2 +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
Question
![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.
×₁ = 9x1 + 3x2 + 9x3, x2' = 3x₁ + 15×2 + 3x3, x3' = 9x1 + 3x2 +9x3
What is the general solution in matrix form?
x(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2F44e6809e-cd6b-41ed-8e40-549ef536b846%2Fib8q98c_processed.png&w=3840&q=75)
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.
×₁ = 9x1 + 3x2 + 9x3, x2' = 3x₁ + 15×2 + 3x3, x3' = 9x1 + 3x2 +9x3
What is the general solution in matrix form?
x(t) =
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