For the following systems with complex or repeated eigenvalues. Find the eigenval- ues and eigenvectors, state the geometric multiplicity, find generalised eigenvectors and hence find a general solution using an exponential matrix in terms of the initial condition x(0) = = X0. 1 1 1 -6 5 X -5 4 (b) x= 7)x 3 (a) x' = (c) x' = 1 -1 1 -3 2 4

For the following systems with complex or repeated eigenvalues. Find the eigenval- ues and eigenvectors, state the geometric multiplicity, find generalised eigenvectors and hence find a general solution using an exponential matrix in terms of the initial condition x(0) = = X0. 1 1 1 -6 5 X -5 4 (b) x= 7)x 3 (a) x' = (c) x' = 1 -1 1 -3 2 4

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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