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 = 3x₁ + x₂ + 2x3, X¹2 = X₁ + 4×₂ + X3, X′3 = 2x₁ + x₂ + 3x3 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. x₁ = 3x₁ + x₂ + 2x3, X¹2 = X₁ + 4×₂ + X3, X′3 = 2x₁ + x₂ + 3x3 What is the general solution in matrix form? x(t) =
Chapter7: Matrices And Determinants
Section: Chapter Questions
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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 = 3x₁ + x₂ + 2x3, X¹2 = X₁ + 4×₂ + X3, X′3 = 2x₁ + x₂ + 3x3
What is the general solution in matrix form?
x(t)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7fe5a73-45e4-4166-8ba1-50e355550dfc%2F975e39aa-6233-4a8c-ab8a-6a9d57bd5b8b%2Fgbmh3sh_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.
x₁ = 3x₁ + x₂ + 2x3, X¹2 = X₁ + 4×₂ + X3, X′3 = 2x₁ + x₂ + 3x3
What is the general solution in matrix form?
x(t)
=
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