Question: A and B are n n matrices. A square matrix A is called nilpotent if A m = O for some m > 1.

A and B are n × n matrices.

A square matrix A is called nilpotent if A^m = O for some m > 1. (The word nilpotent comes from the Latin nil, meaning “nothing,” and potere, meaning “to have power.” A nilpotent matrix is thus one that becomes “nothing”—that is, the zero matrix—when raised to some power.) Find all possible values of det(A) if A is nilpotent.

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