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, X'2 = X₁ + 4x₂ + X3, X²3 = 2x₁ + x₂ + 3x3 What is the general solution in matrix form? x(t) = V

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 32E
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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, X'2 = X₁ + 4x₂ + x3 x 3 = 2x₁ + x₂ + 3x3
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 = 3x₁ + x₂ + 2x3, X'2 = X₁ + 4x₂ + x3 x 3 = 2x₁ + x₂ + 3x3 What is the general solution in matrix form? x(t)= =
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