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Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 2+ 3i with ở = -5+ and A2 = 2 – 3i with v2 = -5 Write the general real solution for the linear system 7' = Ar, in the following forms: A. In eigenvalue/eigenvector form: = c1 B. In fundamental matrix form: C. As two equations: (write "c1" and "c2" for cj and c2) x(t) = y(t) =

Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 2+ 3i with ở = -5+ and A2 = 2 – 3i with v2 = -5 Write the general real solution for the linear system 7' = Ar, in the following forms: A. In eigenvalue/eigenvector form: = c1 B. In fundamental matrix form: C. As two equations: (write "c1" and "c2" for cj and c2) x(t) = y(t) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that the matrix A has the following eigenvalues and eigenvectors: A1 = 2+ 3i with ở1 = 5 + and 2 – 3i with v2 2i Write the general real solution for the linear system '= Ar, in the following forms: A. In eigenvalue/eigenvector form: = c1 + c2 B. In fundamental matrix form: C. As two equations: (write "c1" and "c2" for ci and c2) a(t) = y(t) =
Transcribed Image Text:Suppose that the matrix A has the following eigenvalues and eigenvectors: A1 = 2+ 3i with ở1 = 5 + and 2 – 3i with v2 2i Write the general real solution for the linear system '= Ar, in the following forms: A. In eigenvalue/eigenvector form: = c1 + c2 B. In fundamental matrix form: C. As two equations: (write "c1" and "c2" for ci and c2) a(t) = y(t) =
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