These problems are actually for my classical mechanics class, but they are linear-algebra based. I can construct a transformation matrix, but I have trouble visualizing the rotations, particularly in 3-space. So if someone could help me get a pictorial idea of what's actually happening, then the problems would be much easier!!! 1) Find the transformation matrix that rotates the x3 (z) axis of a regular coordinate system 45 degrees toward x1 (x) around the x2 (y) -axis. Here's the matrix I got for this one: 1 0 0 0 1 0 sqrt2/2 -sqrt2/2 sqrt2/2 2) Find the transformation matrix that rotates a rectangular coordinate system through an angle of 120 degrees about an axis making equal angles with the original three coordinate axes. Here's the matrix I came up with for this one: -.5 sqrt3/2 .5 .5 -.5 sqrt3/2 sqrt3/2 .5 -.5 Thanks!!!