Basic invertible matrix theorem proof.

  • Thread starter Evil Robot
  • Start date
  • #1
If A and B are invertible matrices, can anyone prove that

(AB)^(-1) = B^(-1)*A^(-1) ?

This is not exactly the problem, I have, but my group theory problem is isomorphic to it :).
 

Answers and Replies

  • #2
Galileo
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Check:
With that expression for [itex](AB)^{-1}[/itex], does the following hold?

[tex](AB)^{-1}(AB)=1[/tex]
 

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