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#1 2005-11-21 03:41:25

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

More Algebra Chalenges

Let A, B ∈ Mat[n x n] (ℝ), therefore square matrices.

Proof the following identities:

I1) Tr(AB)=Tr(BA), where Tr(X) is the matrix trace

I2) Det(AB)=Det(BA), where Det(X) is the determinant


The first one is easy, but the second is indeed a challenge smile

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