We denote by $mathcal{Q}(A)$ the set of all matrices with the same sign pattern as A. A matrix A has signed -space provided there exists a set S of sign patterns such that the set of sign patterns of vectors in the -space of e $ ilde{A}$ is S, for each e $ ilde{A}{in}mathcal{Q}(A)$. In this paper, we show that the number of sign patterns of elements in the row space of $mathcal{S}^*$-matrix is $3^{m+1}-2^{m+2}+2$. Also the number of sign patterns of vectors in the -space of a totally L-matrix is obtained.