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15. If the complex number 2+3i is an eigenvalue of a matrix A = (ca) d 7 a, b, c, d are real numbers, then for every solution of the system Sx' = ax + by, y' = cx + dy it is true that limtox(t) = limt → y(t) = 0. where

15. If the complex number 2+3i is an eigenvalue of a matrix A = (ca) d 7 a, b, c, d are real numbers, then for every solution of the system Sx' = ax + by, y' = cx + dy it is true that limtox(t) = limt → y(t) = 0. where

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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15. If the complex number 2+3i is an eigenvalue of a matrix A = (d) a, b, c, d are real numbers, then for every solution of the system Sx' = ax + by, y' = cx + dy it is true that limt - x(t) = limt - y(t) = 0. 7 where
Transcribed Image Text:15. If the complex number 2+3i is an eigenvalue of a matrix A = (d) a, b, c, d are real numbers, then for every solution of the system Sx' = ax + by, y' = cx + dy it is true that limt - x(t) = limt - y(t) = 0. 7 where
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