Prove that if A, B, and C are n × n non-singular matrices, then (ABC)^-1 = C^−1B^−1A^−1 .
(ABC)−1=[(AB)C]−1=C−1(AB)−1=C−1B−1A−1(ABC)^{-1}=[(AB)C]^{-1}=C^{-1}(AB)^{-1}=C^{-1}B^{-1}A^{-1}(ABC)−1=[(AB)C]−1=C−1(AB)−1=C−1B−1A−1
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