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 + 3X3, X¹2 = X₁ +5X₂ + X3, X 3 = 3x₁ + x₂ + 3x3 What is the general solution in matrix form? x(t) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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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.
+3
x₁ = 3x₁ + x₂ + 3X3, X¹2 = X₁ + 5X₂ + X3, X 3 = 3x₁ + 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. +3 x₁ = 3x₁ + x₂ + 3X3, X¹2 = X₁ + 5X₂ + X3, X 3 = 3x₁ + x₂ + 3x3 What is the general solution in matrix form? x(t) =
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