Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Product multiple determinants Date
B Product rule OR Partial differentiation Jan 10, 2018
B Derivative with the double cross product Jul 18, 2017
B Derivation with logarithms and product May 27, 2017
I Geometrical interpretation of gradient May 26, 2017