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. x₁ = 9x₁ + 3×₂ + 9X3 x₂ = 3x₁ + 15x₂ + 3x3 2 x3 = 9x₁ + 3 × ₂ + 9x3 X 2 What is the general solution in matrix form? x(+) =

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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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
the system.
a general solution of
x₁ = 9x₁ + 3×₂ + 9×3
x₂ = 3x₁ + 15 x₂ + 3x3
2
x ₂ = 9×₁ + 3 × ₂ + 9x3
3
2
What is the general solution in matrix form?
x(t) =
Transcribed Image Text:The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the eigenvalue method to find the system. a general solution of x₁ = 9x₁ + 3×₂ + 9×3 x₂ = 3x₁ + 15 x₂ + 3x3 2 x ₂ = 9×₁ + 3 × ₂ + 9x3 3 2 What is the general solution in matrix form? x(t) =
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