Re: AN ODD DETERMINANT PROBLEM

Thank you, Valeriu, for your most interesting and
informative reply. I do have one question about the
argument, which perhaps you can clarify for me.
Why do linearly independent columns of 0's and 1's
(Mod 2) necessarily produce an odd determinant (if that
is what you are inferring)? Though the underlying matrix
would be non-singular in the ordinary sense, I am not
sure why its determinant could not have an even value.
Since the (Mod 2) condition for linear independence
for these arrays is equivalent to the condition that no
column is the sum (Mod 2) of any subset of the columns to
its left (or all 0's), I see the counting argument.
Nice!!
.

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