# Worksheet: Linear Transformation Definition

In this worksheet, we will practice defining a linear transformation and stating whether a given transformation is linear.

**Q2: **

Consider the linear transformations for which , the image of , and , the image of , are unit vectors. Let be a linear transformation of this kind which has the additional property that the area of the parallelogram with vertices , , , and is as big as possible. What are the possible values of the measure of the angle between and for the transformation ?

- A
- B only
- C
- D only
- E and