A square matrix \( A \) is said to be a nilpotent matrix of degree ... VIDEO
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 nilpotent matrices then \( A+B \) will be a nilpotent matrix if
(a) \( A+B=A B \)
(b) \( A B=B A \)
(c) \( A-B=A B \)
(d) none of these
\( \mathrm{W} \)
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