Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2005-11-22 02:41:25

kylekatarn
Power Member

Offline

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

 

Board footer

Powered by FluxBB