Consider the resistive circuit shown in Figure 3.2. The three mesh currents are denoted by $i_1$, $i_2$, and $i_3$.
(a) Apply KVL to the three meshes to obtain the system of three linear equations that govern the mesh currents $i_1$, $i_2$, and $i_3$.
(b) Formulate the system of equations in (a) in the matrix form $Ax = b$. Specify the elements of $A$, $b$, and $x$.
(c) Based the values of $i_s$, $v_s$, $R_1$, $R_2$, $R_3$, and $R_4$ to be specified by the lab TA, evaluate the arrays $A$ and $b$ obtained in (b). Then determine the mesh currents $i_1$, $i_2$, and $i_3$ by solving the matrix equation for the solution vector $x^*$.