Consider matrix (3 1 1 A = 4 2 E C3,3 3 3 a) Find the characteristic polynomial of A. b) values. Find the spectrum of A and algebraic and geometric multiplicities of individual eigen- c) Find the eigenspace corresponding to each eigenvalue. 11.3 IC

Consider matrix (3 1 1 A = 4 2 E C3,3 3 3 a) Find the characteristic polynomial of A. b) values. Find the spectrum of A and algebraic and geometric multiplicities of individual eigen- c) Find the eigenspace corresponding to each eigenvalue. 11.3 IC

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

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Consider matrix
(3 1
1
A =
2 4 2
E C3,3
3 3
a)
Find the characteristic polynomial of A.
b)
values.
Find the spectrum of A and algebraic and geometric multiplicities of individual eigen-
c)
Find the eigenspace corresponding to each eigenvalue.
d)
that AP = PD. If not, explain why the matrix is not diagonalizable.
Is the matrix diagonalizable? If yes, find diagonal matrix D and regular matrix P such

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