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  3. (a) find a 3×3 matrix a such that 0 is the only e

(a) Find a 3×3 matrix A such that 0 is the only eigenvalue of A, and...

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Advance Math

(a) Find a 3×3 matrix A such that 0 is the only eigenvalue of A,and the space of eigenvectors of 0 has dimension 1. (Hint: uppertriangular matrices are your friend!)

(b) Find the general solution to x' = Ax.

PLEASE SHOW YOUR WORK CLEARLY.

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