Exercise 2. 1) If A E M3x3(F) has 1,2 and 3 as E(3, A)? eigenvalues, what is the dimension of
Exercise 2. 1) If A E M3x3(F) has 1,2 and 3 as E(3, A)? eigenvalues, what is the dimension of
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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Transcribed Image Text:Exercise 2. 1) If A € M3x3(F) has 1,2 and 3 as eigenvalues, what is the dimension of
E(3, A)?
2) Consider
(2 1 0V
A = 1 20
2 3 3
Does one of the eigenvalues A of A satisfies dim E(A, A) = 2?
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