Consider a certain 2 × 2 linear system, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues of the coefficient matrix A is r = 3– 2i, which has a corresponding eigenvector | What is the system's real-valued general solution? Lütfen birini seçin: cos 2t O Cie 4 cos 2t – sin 2t sin 2t - Czet [4 sin 2t – cos 2t sin 2t cos 2t [ 4 cos 2t – sin 2t + Cze* | 4 sin 21 + cos 2t cos 2t o Cie 4 cos 2t + sin 2t J sin 2t + C2e*4 sin 2t – cos 2t 1. cos 2t 4 sin 2t + cos 2t ] sin 2t 4 cos 2t + sin 2t + Cze*

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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Consider a certain 2 × 2 linear system, x' = Ax, where A is a matrix of real
numbers. Suppose one of the eigenvalues of the coefficient matrix A is r = 3– 2i, which has a
corresponding eigenvector | What is the system's real-valued general solution?
Lütfen birini seçin:
cos 2t
O Cie 4 cos 2t – sin 2t
sin 2t
- Czet
[4 sin 2t – cos 2t
sin 2t
cos 2t
[ 4 cos 2t – sin 2t
+ Cze*
| 4 sin 21 + cos 2t
cos 2t
o Cie 4 cos 2t + sin 2t J
sin 2t
+ C2e*4 sin 2t – cos 2t
1.
cos 2t
4 sin 2t + cos 2t
]
sin 2t
4 cos 2t + sin 2t
+ Cze*
Transcribed Image Text:Consider a certain 2 × 2 linear system, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues of the coefficient matrix A is r = 3– 2i, which has a corresponding eigenvector | What is the system's real-valued general solution? Lütfen birini seçin: cos 2t O Cie 4 cos 2t – sin 2t sin 2t - Czet [4 sin 2t – cos 2t sin 2t cos 2t [ 4 cos 2t – sin 2t + Cze* | 4 sin 21 + cos 2t cos 2t o Cie 4 cos 2t + sin 2t J sin 2t + C2e*4 sin 2t – cos 2t 1. cos 2t 4 sin 2t + cos 2t ] sin 2t 4 cos 2t + sin 2t + Cze*
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