a) Find the eigenvalues of A.b) Find three linearly independent solutions of ẋ = Ax.c) Find the exponential e^(tA)Let A = \(\begin{pmatrix} 2 & 0 & 0 \\ -1 & 3 & 0 \\ 3 & -3 & 0 \end{pmatrix}\).

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Answered: a) Find the eigenvalues of A. b) Find…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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a) Find the eigenvalues of A. b) Find three linearly independent solutions of x' = Ax. c) Find the exponential e^(tA) Let A = 2 -1 ا دیا 0 0 3 0 -30