Find the final transformation matrix $-[$a$]($for a right$-$handed coordinate system$)$ for a generic rotation $-$ the steps are listed below

$[$a$]1$: ccw rotation about Z$3$ with angle of $=30$ deg

$[$a$]2$ :ccw rotation about Z$1$ with an angle of $=45$ deg

$[$a$]3$ :ccw rotation about Z$3\text{'}$ with an angle of $\backslash$psi $=60$ deg

Note: $[$a$]$ : $[$a$]1[$a$]2[$a$]3$