1. ## Matricies

Show that if A and B are two n x n matricies with inverses $A^{-1}$ and $B^{-1}$, then AB has an inverse and that $(AB)^{-1} = B^{-1} A^{-1}$

2. Originally Posted by manalive04
Show that if A and B are two n x n matricies with inverses $A^{-1}$ and $B^{-1}$, then AB has an inverse and that $(AB)^{-1} = B^{-1} A^{-1}$
Calculate $(AB) (B^{-1} A^{-1})$ and $(B^{-1} A^{-1}) (AB)$. What do you find?

3. ## matricies

Originally Posted by mr fantastic
Calculate $(AB) (B^{-1} A^{-1})$ and $(B^{-1} A^{-1}) (AB)$. What do you find?

please explain this further i dont understand - sorry

4. Originally Posted by manalive04
please explain this further i dont understand - sorry
There's nothing further to explain .... Do the matrix multiplications!