I have a 40*40 matrix which has elements very close to 1 on diagonal and very small off-diagonal elements.(adsbygoogle = window.adsbygoogle || []).push({});

I find determinant of many of these randomly generated matrix, determinant is roughly multiplication of diagonal matrix squared. As (.95)^40 is a small number and (1.05)^40 is a bignumber, I get a histogram that increases from zero reaches a maxima and then fall to zero when I plot all these determinant values. It has a mean of 1 but peak at around .1

What kind of nomalization should I use such that when I make histogram it looks like a bell curve with a mean of 1.

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# Chosing normalization

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