Question:
Fundamental Mathematics: Rotation & Reflection
We use matrices, eigenvalues and eigenvectors to solve the following:
Let f be the rotation in the 3-dimensional space about the x-axis through the angle pi/2 and g be the rotation about the y-axis through the same angle. Describe the rotation f g. Let h be the reflection in the plane orthogonal to the vector 2i - j + 3k. Describe the reflection f h.