Show that this column matrix is not a vector

[LCSphysicist]

Summary:: I am suppose to show that this columns matrix does not transform as a vector. In another words, it is not in fact a vector.

I think this become trivial if we get the rotation matrix composed of Euler angles. But, i think that it is not the best way to solve this problem, and i can't find another way.

 

[Charles Link]

This is not my area of expertise, but I think you can simplify it to a rotation about the z-axis. That matrix is much simpler. I think you might only need to look at the z component, and show that you get a different result when the rotation is applied to the 3rd term in that array.

 

[PeterDonis]

Moderator's note: Thread moved to homework forum.

@Herculi, please give an attempt at a solution.