The frame structure given below is loaded by a moment of $\backslash (10\backslash$mathrm$\{$KN$\}.\backslash$mathrm$\{$m$\}\backslash )$ in the direction shown, and uniform distributed load of $\backslash ((-1000\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\})\backslash ).$ Nodes $2$ and $3$ are pinned $($free to rotate but not free to translate$).$ Node $1$ is fixed $($translations and rotation are zero$).$

Frame properties are given in the figure.

A$.$ Determine the global reduced stiffness matrix and the applied global reduced load column.

B$.$ Find the rotation of node $2.$