Lesson Worksheet: Linear Transformations in Planes: Rotation Mathematics
In this worksheet, we will practice finding the matrix of linear transformation of rotation at a given angle and the image of a vector under a given rotation linear transformation.
Q1:
Describe the geometric effect of the transformation produced by the matrix .
- Aa rotation through an angle of
- Ba rotation through an angle of
- Ca rotation through an angle of
- Da rotation through an angle of
- Ea rotation through an angle of
Q2:
A rotation with center the origin sends the vector to . Find the matrix representation of this rotation.
- A
- B
- C
- D
- E
Q3:
A linear transformation of a plane sends the vector to . If the transformation is a rotation about the origin, where does it send ?
- A
- B
- C
- D
- E
Q4:
A linear transformation of a plane sends vector to . If the transformation is a rotation, where does it send ?
- A
- B
- C
- D
- E