A nonzero n times n matrix a is said to be nilpotent of
A nonzero n × n matrix A is said to be nilpotent of index m if m is the smallest positive integer for which Am = 0. Which of the following matrices are nilpotent? If nilpotent, what is its index?
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a nonzero n times n matrix a is said to be nilpotent of index m if m is the smallest positive integer for which am 0
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