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(Linear Algebra) A n×n-matrix is nilpotent if there is a "r" such that Ar is the...

(Linear Algebra)

A n×n-matrix is nilpotent if there is a "r" such that Ar is the nulmatrix.

1. show an example of a non-trivial, nilpotent 2×2-matrix

2.let A be an invertible n×n-matrix. show that A is not nilpotent.

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