A square matrix A is called nilpotent if An = 0 for some positive power n. (a) Show that

Chapter 1, Problem 32

(choose chapter or problem)

A square matrix A is called nilpotent if An = 0 for some positive power n. (a) Show that A = 011 000 000 is nilpotent. T (b) Use a calculator or computer to show that A = 00000 10000 01000 00100 00010 is nilpotent.

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