If A, C, D are matrices does (AC^-1)^-1(AC^-1)(AC^-1)^-1(AD^-1) simplify to to A^2(C)(D)
remembering that the inverse of the product of two matrices is the reverse product of the two inverses, then (AC^-1)^-1 = CA^-1 (CA^-1)(AC^-1) = CC^-1 = I, the unit matrix, so we are left with (AC^-1)^-1(AD^-1) = CA^-1AD^-1 = CD^-1
I thought (AC^-1)^-1 = AC?
Oh nvm that's where I went wrong, thank you!
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