A square matrix A is called nilpotent if Ak = O for some k ¥ 1 (a)
Question:
(a) Show that
is nilpotent.
(b) Show that any strictly upper triangular matrix is nilpotent.
(c) Find a nilpotent matrix which is neither lower nor upper triangular.
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a By direct computation and so A 3 O b Let A have size n n By ...View the full answer
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