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 = 2x₁ + x₂ + x3, x2 = − 3x₁ - 2x₂ - X3, X 3 = 3x₁ + 3x₂ + 2x3 What is the general solution in matrix form? x(t)=

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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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 = 2x₁ + x₂ + x3, x₂ = - 3x₁ - 2x₂ - X3, X'3 = 3x₁ + 3x₂ + 2x3
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 a general solution of the system. x₁ = 2x₁ + x₂ + x3, x₂ = - 3x₁ - 2x₂ - X3, X'3 = 3x₁ + 3x₂ + 2x3 What is the general solution in matrix form? x(t) =
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