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I am writing a web applet that performs the LU decomposition method to break down A matrix into an upper Triangular matrix and lower triangular matrix, and I was wondering if there is a way to compute (or even approximate) the number of Upper triangular matrices and lower triangular matrices a matrix can be broken into?

Fadi Hanna AL-Kass
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    The number is infinite. You may take any given decomposition $A=LU$, multiply $L$ by any $c\in \mathbb{R}\backslash {0}$ and multiply $U$ by $c^{-1}$ – David P Feb 08 '14 at 04:28
  • that's what i thought. is it always infinite, or are there any special cases? Also, I think your comment better be posted as an answer. – Fadi Hanna AL-Kass Feb 08 '14 at 04:48

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