For a given connected network and for a fixed tree, the fundamental loop matrix is given by\(B = \left[ \begin{matrix} 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & -1 \\ 0 & 0 & 1 & 1 & -1 & -1 \\ \end{matrix} \right]\)The fundamental cut-set matrix Q corresponding to the same tree is given by

• A. \(Q = \left[ \begin{matrix} -1 & 0 & -1 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 & 1 \\ \end{matrix} \right]\)
• B. \(Q = \left[ \begin{matrix} -1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 & 1 \\ \end{matrix} \right]\)
• C. \(Q = \left[ \begin{matrix} 1 & 0 & 1 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 & 1 & 0 \\ 0 & 1 & 1 & 0 & 0 & 1 \\ \end{matrix} \right]\)
• D. \(Q= \left[ \begin{matrix} 0 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & -1 \\ 1 & 0 & 1 & 1 & -1 & -1 \\ \end{matrix} \right]\)