Ononot — Let A be a 5 \times 5 matrix such that A^3 = 0 but A^2 \ne 0

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Eigenvalues & Eigenvectorshard

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Let $A$ be a $5 \times 5$ matrix such that $A^3 = 0$ but $A^2 \ne 0$ . If $\text{rank}(A) = 2$ , what is the Jordan canonical form of $A$ ?