$\left(\begin{array}{ccc}
V_{11} & V_{12} & \cdots \\
V_{21} & V_{22} & \cdots \\
\vdots & \vdots & \ddots
\end{array}\right) \left(\begin{array}{c}
\langle 1^{(0)}|l^{(0)}\rangle \\
\langle 2^{(0)}|l^{(0)}\rangle \\
\vdots
\end{array}\right) = \Delta_l^{(1)} \left(\begin{array}{c}
\langle 1^{(0)}|l^{(0)}\rangle \\
\langle 2^{(0)}|l^{(0)}\rangle \\
\vdots
\end{array}\right)$
V_{11} & V_{12} & \cdots \\
V_{21} & V_{22} & \cdots \\
\vdots & \vdots & \ddots
\end{array}\right) \left(\begin{array}{c}
\langle 1^{(0)}|l^{(0)}\rangle \\
\langle 2^{(0)}|l^{(0)}\rangle \\
\vdots
\end{array}\right) = \Delta_l^{(1)} \left(\begin{array}{c}
\langle 1^{(0)}|l^{(0)}\rangle \\
\langle 2^{(0)}|l^{(0)}\rangle \\
\vdots
\end{array}\right)$