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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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