7. Suppose 2 x 2 matrix A has an eigenvalue i with eigenvector=[¹-1].(a)Find the general solution of = A.(b)Draw the phase portrait and classify the equilibrium solution with itsstability. You must show the work behind your drawing.

given eigen value and eigen vector for the 2x2 matrix A is λ1=i, v→=1-ii

Answered: 7. Suppose 2 × 2 matrix A has an…

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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7. Suppose 2 × 2 matrix A has an eigenvalue i with eigenvector V = [¹ 7 (a) (b) Find the general solution of '= A. Draw the phase portrait and classify the equilibrium solution with stability. You must show the work behind your drawing.