A truss is a structure made of members jointed at their ends. The forces in its 10 members are determined by solving the following set of ten nodal static equilibrium equations. 1. F|sin(36) = 2000 F1 cos(36) + F2 0 F3 + F1 sin(36*) 0 F4-F1 cos(36") = 0 -F3-F5 sin(36") = 3000 Pe + Fs cos(367-F2-0 Fs sin(36) F70 F6 sin(36)-F8 - 1000 1.9-F6 cos(36) = 0 F10 = F6 a) (10 pts) The linear system above can be represented as MX-b where M is a 10x10 matrix, X is a 10x1 vector, and b is a 10x1 vector. Given that X = [F1 F2 F3 F, Flo)", obtain M and b. b) (15 pts) Using M and b from above find the values of X using direct method (i.e. use 1). Use 'fprintf in a for loop to display each force (e.g. F1-...). Identify the members in tension (+ve) and compression(-ve)