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Let A ght Texas St 2 0 0 red. 3 b -1 10 1 Answer the following

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

Constants: a = 2, b = 3.

a. Find the characteristic polynomial of A, and use it to find the eigenvalues.

b. Find a basis for each eigenspace

c. Write matrices P and D that are used to diagonalize A. Check that this is a diagonal-
ization by comparing AP and PD

Let A =
ht Texas St
2018
3 b 1
101
0
Oserved.
Answer the following

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Step 4: Part c)

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