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Node analysis with voltage source in matrix form

. + G_{nn}V_n $$ which in matrix form gives: $$\begin{bmatrix}I_1 \\ I_2 \\. \\ . \\ . \\ I_n\end{bmatrix} = \begin{bmatrix} G_{11}& -G_{12}& -G_{13} ... &-G_{1n} \\ -G_{21}& G_{22}& -G_{23} ... … So in matrix form we have(if for example node 1 was connected to an ideal voltage source): $$\begin{bmatrix}E_1 \\ I_2 \\. \\ . \\ . \\ I_n\end{bmatrix} = \begin{bmatrix} 1& 0& 0 ... &0 \\ -G_{21}& G_ …
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