1 Suppose
Explain why this is a rotation matrix and find the angle of rotation.
2 Let T be the linear map that reflects a vector v in R2 about the line y = mx.
Use a change of basis argument to find the matrix representation A for T.
3 Let
.
Show that Q is orthogonal with determinant −1. Find the axis of rotation, the plane of reflection and the cosine of the angle of rotation.
Hi there! Click one of our representatives below and we will get back to you as soon as possible.