[bluesbassman]

I see, you want to explicitly compute the dependent relationship.

Let R1, ... ,Rn be the n linearly dependent rows of a singular (real) matrix. (Thus each row, Ri, is an n-dimensional vector.) By definition, there exists a set of n real numbers, (X1, ... ,Xn), not all zero, which satisfy the set of n linear equations:

X1*R1 + X2*R2 + ... + Xn*Rn = zero vector (size nx1)

The preceding is n linear equations for the n unknowns X1 through Xn. Just use basic algebra to solve these equations. (This is equavalent to the matrix equation a previous poster posted.)