X*Y=X and sum(X)=1

hello,

i would like to know what is the easiest way of solving the following
system of equations:

X(1xn)* Y(n*n)=X(1xn)

I know Y and i know that the sum of all the elements of the unknow
vector X must add 1

thanks,
olea

PS: ideas on how to solve this in MATLAB are also very welcome :-)

.

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