Mathematics: Applications and Interpretation · Topic 3: Geometry and trigonometry

AHL3.9 — Matrix transformations of the plane

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL3.9.1

   Transformation matrices

   Reflect, stretch, enlarge and rotate points using 2x2 matrices.

2. AIAHL3.9.2

   Translations and compositions

   Add a translation vector and combine transformations by multiplying matrices.

3. AIAHL3.9.3

   Determinant and area

   Read the area scale factor of a transformation from its determinant.

4. AIAHL3.9.4

   Iterative techniques and fractals

   Repeatedly apply transformations to generate fractal patterns.