A square matrix \( A \) is said to be a nilpotent matrix of degree ...

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A square matrix \( A \) is said to be a nilpotent matrix of degree \( r \), if \( r \) is the least positive integer such that \( A^{r} \) \( =O \).

If \( A \) and \( B \) are two nilpotent matrices then \( A B \) will be a nilpotent matrix if
(a) \( A B=I_{n} \)
(b) \( A B=B A \)
(c) \( A B=A \)
(d) \( A B A=0 \)
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