Consider a certain system of two first order linear differential equations in two unknowns, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues 2+3i of the coefficient matrix A is r = 1- i, which has a corresponding eigenvector What is the system's real-valued general solution?

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 65CR: Determine all nn symmetric matrices that have 0 as their only eigenvalue.
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What is the system’s real-valued general solution?

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Consider a certain system of two first order linear differential equations
in two unknowns, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues
(2+3i\
of the coefficient matrix A is r = 1- i, which has a corresponding eigenvector ,"):
What is
the system's real-valued general solution?
Transcribed Image Text:Consider a certain system of two first order linear differential equations in two unknowns, x' = Ax, where A is a matrix of real numbers. Suppose one of the eigenvalues (2+3i\ of the coefficient matrix A is r = 1- i, which has a corresponding eigenvector ,"): What is the system's real-valued general solution?
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