Suppose that the matrix A has the following eigenvalues and eigenvectors: A₁ = -2+4 with v₁ and A2=-2-4 with v2 5 -2-i 51 2+i Write the general real solution for the linear system' = Ar, in the following forms: A. In eigenvalue/eigenvector form: [x(t)] Ly(t) C1 [8] +C2 5 -2 0 e -2+4i t ல -2-4it

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 30E
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Suppose that the matrix A has the following eigenvalues and eigenvectors:
A₁ = -2+4 with v₁
and
A2=-2-4 with v2
5
-2-i
51
2+i
Write the general real solution for the linear system' = Ar, in the following forms:
A. In eigenvalue/eigenvector form:
[x(t)]
Ly(t)
C1
[8]
+C2
5
-2
0
e
-2+4i t
ல
-2-4it
Transcribed Image Text:Suppose that the matrix A has the following eigenvalues and eigenvectors: A₁ = -2+4 with v₁ and A2=-2-4 with v2 5 -2-i 51 2+i Write the general real solution for the linear system' = Ar, in the following forms: A. In eigenvalue/eigenvector form: [x(t)] Ly(t) C1 [8] +C2 5 -2 0 e -2+4i t ல -2-4it
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