Mathematics

Mathematics

Problem

If A=[231−4]A = \begin{bmatrix} 2 & 3 \\ 1 & -4 \end{bmatrix} and B=[1−2−13]B = \begin{bmatrix} 1 & -2 \\ -1 & 3 \end{bmatrix} , then verify that (AB)−1=B−1A−1(AB)^{-1} = B^{-1}A^{-1} .

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