The coefficient matrix A of the 4x4 system below has eigenvalues A₁-9,₂-6, Ag 9, and 14. Find the particular solution of this system that satisfies the initial conditions x₁ (0)5, x₂ (0) = 5, x3 (0)=5, x (0)=5. x₁ = 2x₁ + x₂ + xy + 8x x2 = x₁ + 2x₂ +11xg+x4 x3 xy +11x₂ + 2xy + xy x48x₁ + x₂ + x3 + 2x GILB

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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The coefficient matrix A of the 4x4 system below has eigenvalues A₁-9, A₂-6, Ag 9, and 4 14. Find the particular solution of this system that satisfies the initial
conditions x₁ (0) = 5, x₂ (0) = 5, x₁ (0) = 5, x4 (0) = 5.
x₁ = 2x₁ + x₂ + xy + 8x4
x2 = x₁ + 2x₂ + 11xg+X4
X3 X₁ +11x₂ + 2xy +Xg
x48x₁ + x₂ + xy + 2x₁
*(t) =
Transcribed Image Text:The coefficient matrix A of the 4x4 system below has eigenvalues A₁-9, A₂-6, Ag 9, and 4 14. Find the particular solution of this system that satisfies the initial conditions x₁ (0) = 5, x₂ (0) = 5, x₁ (0) = 5, x4 (0) = 5. x₁ = 2x₁ + x₂ + xy + 8x4 x2 = x₁ + 2x₂ + 11xg+X4 X3 X₁ +11x₂ + 2xy +Xg x48x₁ + x₂ + xy + 2x₁ *(t) =
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