# Question: find the transformation matrix when a robotic member rotates 45...

###### Question details

Find the transformation matrix when a robotic member rotates 45 degrees on the z axis at 2i+0j+4k.

If the point on the member is located at *p*^{1}=
[1 0 0]* ^{T}*, find the corresponding position in
another frame with the transformation matrix.

Find the inverse transformation matrix
**H**^{-1}, and verify that the position
derived from the step above can transfer back to its original
vector.