Let A be an nxn matrix with characteristic polynomial

Prove that

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- Feb 25th 2010, 12:24 AMwopashuione prove question
Let A be an nxn matrix with characteristic polynomial

Prove that - Feb 25th 2010, 06:32 AMkjchauhan
Every square matrix satisfies its characteristic equation.

- Feb 25th 2010, 06:59 AMRunty
- Feb 25th 2010, 07:57 AMBruno J.
Recall that . Set on both sides! You should just get . The factor could come into the picture if somehow you had defined but that is certainly not standard. The answer is just .

- Feb 25th 2010, 07:58 AMBruno J.
- Feb 25th 2010, 11:36 AMRunty