Constants: a = 2, b = 3 a) List the eigenvalues for M. Which eigenvalue is preventing you from immediately claiming M diagonalizable? Why? (b) Find a basis for the eigenspace corresponding to the eigenvalue from part (a) that needs to be checked for diagonalizability. (c) Based on your answer to part (b) is M diagonalizable? Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Constants: a = 2, b = 3

a) List the eigenvalues for M. Which eigenvalue is preventing you from immediately claiming
M diagonalizable? Why?
(b) Find a basis for the eigenspace corresponding to the eigenvalue from part (a) that needs
to be checked for diagonalizability.
(c) Based on your answer to part (b) is M diagonalizable? Explain.

 
 
Answer the following for matrix M
All rights reserved.
=
ll rights reserved
-1 1
1 7
-7 -3
1
5
-1
given that the
Transcribed Image Text:Answer the following for matrix M All rights reserved. = ll rights reserved -1 1 1 7 -7 -3 1 5 -1 given that the
2023. All righ
characterisitic polynomial of M is (1 - X)(a − x)².
-
Texas
Transcribed Image Text:2023. All righ characterisitic polynomial of M is (1 - X)(a − x)². - Texas
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