If A−1=⎡⎢⎣3−11−156−55−22⎤⎥⎦ and B=⎡⎢⎣12− – InterviewSolution

1.	If A−1=⎡⎢⎣3−11−156−55−22⎤⎥⎦ and B=⎡⎢⎣12−2−1300−21⎤⎥⎦, find (AB)−1.
Answer» If $A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 1 - 15 & 6 & - 5 5 & - 2 & 2 \end{matrix} ⎤ ⎥ ⎦$ and $B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & - 2 - 1 & 3 & 0 0 & - 2 & 1 \end{matrix} ⎤ ⎥ ⎦$ , find $(A B)^{- 1}$ .

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