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Question 2016.S2.27: For the circuit shown below, taking the op-amp as ideal, the......

For the circuit shown below, taking the op-amp as ideal, the output voltage V_{out} in terms of the input voltages V_1, V_2 \text { and } V_3 is

(a) 1.8  V_1+7.2  V_2-V_3             (b) 2  V_1+8  V_2-9  V_3

(c) 7.2  V_1+1.8  V_2-V_3                (d) 8  V_1+2  V_2-9 V_3

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For the given circuit, at the two nodes we have

\begin{aligned}V_{ A } & =\left\lgroup \frac{4}{5} V_1+\frac{1}{5} V_2 \right\rgroup \\V_{ B } & =V_3 \\V_{\text {out }} & =\square 9  V_{ B }+10  V_{ A }=\square 9  V_3+8  V_1+2  V_2\end{aligned}

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