6. If the complex number -2+3i is an eigenvalue of a matrix A = a, b, c, d are real numbers, then for every solution of the system Sx² = ax + by, y' = cx + dy it is true that limtox(t) = limt-y(t) = 0. a (cd) C " where

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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6. If the complex number −2+3i is an eigenvalue of a matrix A
a, b, c, d are real numbers, then for every solution of the system
x' = ax + by,
y' = cx + dy
it is true that limƒ→∞ x(t) = limµ→∞ y(t) = 0.
(ad)
"
where
Transcribed Image Text:= 6. If the complex number −2+3i is an eigenvalue of a matrix A a, b, c, d are real numbers, then for every solution of the system x' = ax + by, y' = cx + dy it is true that limƒ→∞ x(t) = limµ→∞ y(t) = 0. (ad) " where
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