Transformation Matrices

I would be blonde in another coordinate system

and you would not have a beard; she would be transformed

into beauty and charm. 

I'm looking for the transformation matrix is several dimensions.

my office mate tells me its easy but for the spatially handicapped

it's a challenge

youTube leads the way

we'll make some guesses at the appropriate angles and 

throw in some cosines, sines and a couple tangents for good measures

and roll the dice

we'll be transformed no doubt and we'll hope for the best.