Problem 1: Using mesh current analysis for the circuit in Figure 1, find the mesh current equations using the R Matrix method but DO NOT SOLVE. Where $V_{s1} = 20V$, $V_{s2} = 10V$, $R_1 = 6\Omega$, $R_2 = 5\Omega$, $R_3 = 4\Omega$, $R_4 = 3\Omega$, $R_5 = 2\Omega$. Assume all the loops are traveling clockwise; identified as $i_1$, $i_2$, and $i_3$.