$[$MATLAB and $/$or by hand $-8$ points$]$ Solve the following beam problems $(($a$)$ and $($b$))$ below using the direct stiffness methods discussed in class. You are expected to solve these problems in MATLAB but are encouraged to check your work analytically. Find the reactions at the supports, find the maximum displacement and its location on the beam, and plot the deflection curve for the entire beam. Show the nodes, elements, elemental stiffness matrices, assembled global matrix, boundary conditions, nodal forces $($not global$),$ and the nodal displacements$/$slopes

$($a$)$

$($b$)$