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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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true or false
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88f29aa5-bb4d-4c36-91e0-84a07da8e51f%2F4f51eaf6-ca23-4236-9ba2-58b19205e375%2Fm63x2h_processed.jpeg&w=3840&q=75)
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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