If I am required to compute the full transformation matrix compromising of the following sequence of operations:
- rotation by $30$ degrees about $x$-axis
- translation by $1$, $-1$, $4$ in $x$, $y$ and $z$, respectively
- rotation by $45$ degrees about $y$ axis
Can I compute the rotation, translation and rotation matrix or would I be required to compute the rotation, rotation and translation matrix?