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) Suppose that the matrix A has the following eigenvalues and eigenvectors: 1= -1+ 5i with v 5 %3D -4 – 4i e = -1- 5i with ö2 -4+ 4i e the general real solution for the linear system 7' = AF, in the following forms: eigenvalue/eigenvector form: ¤(t) + C2 fundamental matrix form: y(t) s two equations: (write "c1" and "c2" for c and c2 ) r(t) = y(t):

) Suppose that the matrix A has the following eigenvalues and eigenvectors: 1= -1+ 5i with v 5 %3D -4 – 4i e = -1- 5i with ö2 -4+ 4i e the general real solution for the linear system 7' = AF, in the following forms: eigenvalue/eigenvector form: ¤(t) + C2 fundamental matrix form: y(t) s two equations: (write "c1" and "c2" for c and c2 ) r(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: 5 1 = -1+5i with v1 -4 – 4i and 5 d2 = -1– 5i with vz = : -4+ 4i %3| Write the general real solution for the linear system i' = AF, in the following forms: A. n eigenvalue/eigenvector form: In x(t) y(t) t = C1 e + c2 e B. In fundamental matrix form: ¤(t)' y(t) C1 C. As two equations: (write "c1" and "c2" for c and c2 ) r(t) = y(t) = +
Transcribed Image Text:) Suppose that the matrix A has the following eigenvalues and eigenvectors: 5 1 = -1+5i with v1 -4 – 4i and 5 d2 = -1– 5i with vz = : -4+ 4i %3| Write the general real solution for the linear system i' = AF, in the following forms: A. n eigenvalue/eigenvector form: In x(t) y(t) t = C1 e + c2 e B. In fundamental matrix form: ¤(t)' y(t) C1 C. As two equations: (write "c1" and "c2" for c and c2 ) r(t) = y(t) = +
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