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.

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A: See the attachment.

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A: Solution of the problem as follows

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