only need help on parts d-e
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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only need help on parts d-e
Transcribed Image Text:3. Suppose that the characteristic polynomial of a square matrix A is
fA(A) = –X³ + 3A
(a)
What is the size of A?
(b)
What are the eigenvalues of A?
(c)
What is tr(A)?
(d)
Is A invertible? Why or why not?
Is A diagonalizable? If so, determine a diagonal matrix that is similar to A.
(e)
If not, explain why not.
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