for some If A and B are nilpotent with AB=BA, then A+B is nilpotent. Suppose . Then if , then since if , then . Does this prove it?
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Originally Posted by dwsmith for some If A and B are nilpotent with AB=BA, then A+B is nilpotent. Suppose . Then if , then since if , then . Does this prove it? Yes. Note that because .
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