Answered: Г-4 0 21 Let A = 2 4 -8 2 0 -4 a) Find…

Г-4 0 21 Let A = 2 4 -8 2 0 -4 a) Find the characteristic polynomial of A. b) Find the eigenvalues of A and state their algebraic multiplicity. c) Find a basis for each eigenspace of A.

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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Question

Г-4 0
21
Let A =
2 4 -8
2 0
-4
a) Find the characteristic polynomial of A.
b) Find the eigenvalues of A and state their algebraic multiplicity.
c) Find a basis for each eigenspace of A.

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