Explanation

Matrices can transform points in the plane.

Example:
[ a b ]
[ c d ]

This matrix transforms the vector ⟨x, y⟩ into:
⟨ax + by, cx + dy⟩

Common transformations:

• Rotations

• Reflections

• Dilations

Quiz

1. What does a transformation do?

2. What does a matrix act on?

3. Can matrices rotate shapes?

4. Can matrices reflect shapes?

5. Are transformations linear?

Answer Key

1. Changes position or shape

2. Vectors

3. Yes

4. Yes

5. Yes