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Product of multiple determinants

  1. Sep 4, 2009 #1

    I have several 2x2 matrices, A_s, indexed from s=1 to 50. I need to take the product of their determinants raised to the -1/2 power, i.e.,


    Can this problem be simplified any further?
  2. jcsd
  3. Sep 4, 2009 #2


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    Homework Helper

    These matrices, do you have a formula for them? Such as, (I made this up, not from this problem): [tex]A_s=\left(\begin{array}{cc}(-1)^s&\frac{s}{s+1}\\s^2-1&1\end{array}\right)[/tex]. In this case, give the formula (or some other procedure for generating them) and we'll see.

    Or perhaps you have these matrices written out, or stored as a data? In this case, I would use a computer to do the calculation.
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