Homework Help: I'm a bit confused about rotation and reflection matrices

1. Apr 19, 2012

PirateFan308

1. The problem statement, all variables and given/known data
I have a final coming up and I am a bit fuzzy on how to create a matrix that represents a rotation or reflection about a certain plane (in R3). Say we are given a rotation/reflection about either a plane or a line through two points T(v)=Av and we are told to find A. Do we simply have to look at $e_1, e_2, e_3$ and see what the transition would be for these vectors and plug the 'transitioned' $e_1, e_2, e_3$ into the columns of A, respectively? Or is there a lot more that I am missing? Thanks!

2. Apr 21, 2012

vela

Staff Emeritus
Yup, that's how you find the columns of the matrix representing any linear transformation.