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#1 2010-03-29 10:07:17

GOKILL
Member
Registered: 2010-03-19
Posts: 26

prove, about characteristic polynomial...

If

is a square matrix of order
, then prove that

with
is the polynomial of order (teh greatest)


I am the greatest magician this century!!!

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#2 2010-03-29 14:12:55

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: prove, about characteristic polynomial...

Determinants are defined by induction.  Good mathematics principle: Statements about things which are defined by induction are also proved by induction.


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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