# Worksheet: Linear Transformations in Planes: Rotation

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.

**Q11: **

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

**Q12: **

A rotation with center the origin sends the vector to . Find the matrix representation of this rotation.

- A
- B
- C
- D
- E

**Q16: **

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

**Q17: **

A linear transformation of a plane sends vector to . If the transformation is a rotation, where does it send ?

- A
- B
- C
- D
- E