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Exercise [13.24]b http://www.roadtoreality.info/viewtopic.php?f=19&t=1626 
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Author:  robin [ 22 Jul 2010, 13:57 ]  
Post subject:  Exercise [13.24]b  
I just came up with an alternative approach to this question which is quite interesting. The key point in the proof is that it turns out you can decompose the derivative of a determinant into the sum of determinants of the matrix which have a single row differentiated and the rest unaltered.

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