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Math Help - please more help with linear algebra

  1. #1
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    please more help with linear algebra

    Let A, B, and C be 3x3 invertible matrices where det A = detB = detC

    det(-(Atranspose)^2BinverseCinverse) = ?

    det[-2(A^2)transposeBtransposeCinverse) = ?
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  2. #2
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    Quote Originally Posted by eiktmywib View Post
    det(-(Atranspose)^2BinverseCinverse) = ?
    I do this one.

    \det (- (A^T)^2 B^{-1} C^{-1}) = (-1)^3 [\det (A^T)]^2 \det (B^{-1})\det (C^{-1}) = -1 \frac{\det (A) \det (A)}{\det (B) \det (C)} = -1
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