Matrices And Determinants

Let \(\mathrm{S}\) be the set of values of \(\lambda\), for which the system of equations

\(6 \lambda x-3 y+3 z=4 \lambda^{2}\),

\(2 x+6 \lambda y+4 z=1\),

\(3 x+2 y+3 \lambda z=\lambda\) has no solution. Then \(12 \sum_\limits{i \in S}|\lambda|\) is equal to ___________.