Question: Write down (a) A 2 2 matrix that has 0 as one of its eigenvalues and (1, 2) T as a corresponding eigenvector; (b)

Write down

(a) A 2 × 2 matrix that has 0 as one of its eigenvalues and (1, 2)T as a corresponding eigenvector;

(b) A 3 × 3 matrix that has (1, 2, 3)T as an eigenvector for the eigenvalue −1.

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