This question was floating around: can a determinant-1 diagonal matrix be factored into a product of triangular matrices with 1-diagonals, and how?
At least for the 2-by-2 matrix, this is answered in the affirmative here (Section 8.3). Here is a recapitulation.
(Read the article)
…you speak of… what, do I write to myself? I only have 100MB.
First post and already TeX can be rendered. I stole the idea from fakalin.
\( \int_{0}^{1}\frac{x^{4}\left( 1-x\right) ^{4}}{1+x^{2}}dx = \frac{22}{7}-\pi \)
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