16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 6.2.11

Elementary Canonical Forms

Mathematics — Linear Algebra · nilpotent-2x2-similarity

Problem

Let NN be a 2×22 \times 2 complex matrix such that N2=0N^2 = 0. Prove that either N=0N = 0 or NN is similar over CC to [0010].\begin{bmatrix} 0 & 0 \\ 1 & 0 \end{bmatrix}.

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