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Math Help - matrix algebra

  1. #1
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    matrix algebra

    Let A,B, and C be 2 x 2 matrices with det A=3, det B=-2, and det C=-2012

    Compute det ((-2)A^{T} B^{3} (C^{T})^{-1} A^{-1} (B^{-1})^{2} CA)
    Last edited by dumbledore; November 12th 2012 at 06:09 PM.
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  2. #2
    MHF Contributor

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    Re: matrix algebra

    Do you not know that det(AB)= det(A)det(B)? From that it follows that det(A^n)= (det A)^n and, in particular dA^{-1}= \frac{1}{det(A)}. Also, it is easy to see that det(A^T)= det(A).
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