2. Let A be a 3 x 3 matrix with the following eigen-pairs: (1, 0 ): -2 ). The notation means, for example that is an eigenvector corresponding to eigenvalue 0 etc. Is A invertible? If yes, find A-1. If not, explain why not. You can use any (a) computation results that you have done elsewhere in this exam without repeating the details. (b) Does A have an orthogonal diagonalization? If yes write it. If not explain why not.
2. Let A be a 3 x 3 matrix with the following eigen-pairs: (1, 0 ): -2 ). The notation means, for example that is an eigenvector corresponding to eigenvalue 0 etc. Is A invertible? If yes, find A-1. If not, explain why not. You can use any (a) computation results that you have done elsewhere in this exam without repeating the details. (b) Does A have an orthogonal diagonalization? If yes write it. If not explain why not.
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:2. Let A be a 3 x 3 matrix with the following eigen-pairs:
1
(1,
):(1,
1
The notation means, for example that
is an eigenvector corresponding to eigenvalue 0
etc.
Is A invertible? If yes, find A-1. If not, explain why not. You can use any
(a)
computation results that you have done elsewhere in this exam without repeating the
details.
(b)
Does A have an orthogonal diagonalization? If yes write it. If not explain why
not.
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