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