The following two applications show how a system of linear equation is important in solving engineering problems: 1. The electrical circuit shown consists of resistors and voltage sources. Using Kirchhoff's law, the following rnnh system of equations can be obtained: V1 + R 11 +R (11 - 12) = 0 LmL Ruiz +R (iz - iz) + R.(iz - id) + R3 (iz - i) = 0 -V2 + Riz + R, (iz iq) + R4(iz iz) = 0 V2 + R6(i4 iz) +R (14 iz) + Rgi4 = 0 Where V = [28 36 42). R= [16 10 6 12 8 14 4 5]. Substitute the values of V and R in the system of equations. 3000 lb II. For the truss (structure shown in Figure, the forces in the members can be determined by solving the following system of equations. 13 m 6000 N 15 m 15 m (2) 8000 N Fcos 30 + F2 = 3000, (1) 15 m F, sin 30 = -6467, -F, cos 30 F, cos 60 + Fs cos 60 + F, cos 30 = -3000, (3) -F, sin 30 Fy sin 60 Fsin 60 Fosin 30 = 0, -F4 Fs cos 60 + F = 0, Fosin 30 = -7533, Focos 30 + F, = 0. (5) Rewrite each system of linear equations in the format Ax = b. where x is the column vector of is and Fs, respectively. Write a MATLAB script file HW4P2.m to solve these systems using: a. Left division to find x; b. Inverse matrix to find x; C. If the system is rewritten in the format y C = d, determine numerically in MATLAB, C and d; d. Use right division to find y; e. Use the inverse matrix to find y