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

(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: upper triangular matrices are your friend!)

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

PLEASE SHOW YOUR WORK CLEARLY.

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Kind regards.

Colby Messinger answered 1 year ago

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