Given the matrix A = -5 0 -4 -1 2 2 6 0 5 Is A diagonalisable? Explain your answer. If the answer is yes, then find the diagonal matrix D and invertible matrix P such that D = P-¹ AP.
Given the matrix A = -5 0 -4 -1 2 2 6 0 5 Is A diagonalisable? Explain your answer. If the answer is yes, then find the diagonal matrix D and invertible matrix P such that D = P-¹ AP.
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:Given the matrix
A =
-5
2
6
OTO
0
-1
0
-4
2
5
Is A diagonalisable? Explain your answer. If the answer is yes, then find the diagonal matrix D
and invertible matrix P such that D = P−¹ AP.
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