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# Proof help.

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1. I have attached a proof below and just wondering whether someone could explain to me the last part. I don't understand why is a zero of ? is the minimum polynomial and Z is the zero matrix.
EDIT: is the characteristic polynomial.
Attached Thumbnails

2. Bump...
3. It's not that is a zero, but , and that's zero because you can just substitute it in!
4. (Original post by Zhen Lin)
It's not that is a zero, but , and that's zero because you can just substitute it in!
Thanks for the reply, but where does x^n come from? I don't know how that got there.
5. (Original post by JBKProductions)
Thanks for the reply, but where does x^n come from? I don't know how that got there.
Because, , and the characteristic polynomial of a zero matrix is .
6. Thanks.

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