Question: (a) Give an example of a 3 3 matrix that only has 1 as an eigenvalue, and has only one linearly independent eigenvector. (b)

(a) Give an example of a 3 × 3 matrix that only has 1 as an eigenvalue, and has only one linearly independent eigenvector.
(b) Give an example that has two linearly independent eigenvectors.

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