Find the matrix A (in terms of B, C, and D)?

Question

How do I solve for A if $(4C^(−1)A^(−1)D )^( −1) = B$ ?

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Answer 1 · 2017-09-09T00:51:15

$A = 4DBC^(-1)$

$(4C^(−1)A^(−1)D )^( −1) = B rArr I = (4C^(−1)A^(−1)D )B rArrC = (4A^(−1)D )B rArr AC=4DB rArr A = 4DBC^(-1)$