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April 20, 2014

Homework Help: Maths - Matrices

Posted by TP on Sunday, March 29, 2009 at 2:48am.

I'm having trouble with doing this matrix proof

The question is "Given some matrix A has the property A*2=A^-1, show that determinant A = 1, i.e |A| = 1"

I've tried for ages, but I can't seem to do it, this is what I got to

A^2= A^-1
|A^2| = |A^-1|
|A|^2 = 1/|A|

Can someone please help?

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