if a matrix of order nxn is given for every elements of a given row or
column we could arrange it in 2 way (i,e either 1 or -1),but as the
product across rows and column is 1,so we cannot arrange at least one
element,which will be depending on the product of rest n-1
elements......so finally we can arrange n-1 elements in rows and also
n-1 elements in column with 2 possibilities.so for us (n-1)(n-1)
elements with each possibility of 2 arrangements,so total arrangements
is 2^((n-1)^2).

On Jul 28, 11:06 am, 석문기 <smgs2...@gmail.com> wrote:
> The problem is finding the subspaces that satisfy two conditions in the 6*6
> total space?
>
> 2011/7/28 vetri <natarajananitha...@gmail.com>
>
> > given a 6x6 matrix with all the elements as either 1 or -1.
> > find the number of ways the elements can b arranged such that
>
> > 1.the product of all elements of all columns is 1
> > 2.the product of all elements of all rows is 1
>
> > can u pls post the answer if u no...
>
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