Let A = | -4 8 10 8 3 7 a) Find the characteristic polynomial of A. b) Find all the eigenvalues of A. c) Find a basis of the eigenspace corresponding to the smallest of your eigenvalues.

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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6
3. Let A =
-4 8
10
8.
3
7
a) Find the characteristic polynomial of A.
b) Find all the eigenvalues of A.
c) Find a basis of the eigenspace corresponding to the smallest of your
eigenvalues.
Transcribed Image Text:6 3. Let A = -4 8 10 8. 3 7 a) Find the characteristic polynomial of A. b) Find all the eigenvalues of A. c) Find a basis of the eigenspace corresponding to the smallest of your eigenvalues.
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