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kumarrukhaiyar
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1. A square matrix A is called nilpotent if a^k = 0 for some k > 0. Prove that if A is nilpotent, then I + A is invertible.
2. Show that the equation AB - BA = I has no solutions in n x n matrices with real entries.
2. Show that the equation AB - BA = I has no solutions in n x n matrices with real entries.