Consider a certain 2 x 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 1 corresponding eigenvector What is the system's real-valued general solution? 4+ i Lütfen birini seçin: ] sin 2t cos 2t Cje3t + Che3t 4 cos 2t – sin 2t 4 sin 2t + cos 2t ] cos 2t sin 2t O Cje3t + Cze3t 4 cos 2t – sin 2t 4 sin 2t – cos 2t cos 2t 4 cos 2t + sin 2t sin 2t O Cje3t + C2e3t 4 sin 2t – cos 2t sin 2t cos 2t Cjest + C2e° 4 cos 2t + sin 2t 4 sin 2t + cos 2t

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 x 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
1
corresponding eigenvector
What is the system's real-valued general solution?
4+ i
Lütfen birini seçin:
]
sin 2t
cos 2t
Cje3t
+ Che3t
4 cos 2t – sin 2t
4 sin 2t + cos 2t
]
cos 2t
sin 2t
O Cje3t
+ Cze3t
4 cos 2t – sin 2t
4 sin 2t – cos 2t
cos 2t
4 cos 2t + sin 2t
sin 2t
O Cje3t
+ C2e3t
4 sin 2t – cos 2t
]
sin 2t
cos 2t
Cjest
+ Ce°
4 cos 2t + sin 2t
4 sin 2t + cos 2t
Transcribed Image Text:Consider a certain 2 x 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 1 corresponding eigenvector What is the system's real-valued general solution? 4+ i Lütfen birini seçin: ] sin 2t cos 2t Cje3t + Che3t 4 cos 2t – sin 2t 4 sin 2t + cos 2t ] cos 2t sin 2t O Cje3t + Cze3t 4 cos 2t – sin 2t 4 sin 2t – cos 2t cos 2t 4 cos 2t + sin 2t sin 2t O Cje3t + C2e3t 4 sin 2t – cos 2t ] sin 2t cos 2t Cjest + Ce° 4 cos 2t + sin 2t 4 sin 2t + cos 2t
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