Let A be an nxn matrix with characteristic polynomial

Prove that

Printable View

- February 24th 2010, 11:24 PMwopashuione prove question
Let A be an nxn matrix with characteristic polynomial

Prove that - February 25th 2010, 05:32 AMkjchauhan
Every square matrix satisfies its characteristic equation.

- February 25th 2010, 05:59 AMRunty
- February 25th 2010, 06:57 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 .

- February 25th 2010, 06:58 AMBruno J.
- February 25th 2010, 10:36 AMRunty