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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!!!