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 $\displaystyle (AB)^{-1} = B^{-1} A^{-1}$

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- Aug 19th 2009, 03:34 AMmanalive04Matricies
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 $\displaystyle (AB)^{-1} = B^{-1} A^{-1}$

- Aug 19th 2009, 03:53 AMmr fantastic
- Aug 19th 2009, 04:09 AMmanalive04matricies
- Aug 19th 2009, 04:25 AMmr fantastic