(Solved): 10. For the four-terminal network shown in Fig. 16.9, it can be shown that ...

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10. For the four-terminal network shown in Fig. 16.9?, it can be shown that the voltage matrix $$V$$ is related to the coefficient matrix $$A$$ and the current matrix $$I$$ by $$V=A^{?1}I$$, where $$V=\left[\begin{array}{l}{v}_1\\ v_2\end{array}\right]A=\left[\begin{array}{ll}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right]I=\left[\begin{array}{l}{i}_1\\ i_2\end{array}\right]$$ Fig. $$16.9$$ Find the individual equations for $$v_1$$ and $$v_2$$ that give each in terms of $$i_1$$ and $$i_2$$.