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Finding determinants of nxn matrices


Hello.

I am interested in a number lamda(A) associated with an nxn matrix, A, 
which mathematica will compute when given the input Abs[Det[Minors[A]]]. 
 I am interested in matrices with all the entries either -1,0 or 1 
except that the (1,3) entry must be 6.  I want to know how large 
lamda(A) can possibly be when A is allowed to range over all possible 
such nxn matrices. NB only for n<=3. I need to write a function in 
Mathematica which will find that answer and also will tell us for how 
many of the 3^((n^2)-1) possible matrices that number is actually 
obtained.

Can anyone suggest the best way to go about this problem?

Thanks
Judith


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