You may vary the matrix by adjusting the sliders at the top and you may vary the region to be transformed by moving the points of the square on the left. You will see the effects of the transformation on the right.

What is the connection between the determinant of the matrix and the area scale factor of the transformation?

What is the connection between the determinant of the matrix and the area scale factor of the transformation?

## Summary/Background

The determinant of the matrix gives the scale factor of the transformation.

## Downloadable Files

## Software/Applets used on this page

Java applet from David Austin

## Glossary

### matrix

a rectangular or square grid of numbers.

### transformation

A change in form or shape.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA A-Level (UK - Pre-2017) | FP1 | Matrix algebra | Transformation geometry | - |

AQA AS Further Maths 2017 | Pure Maths | Matrices and Transformations | Linear Transformations | - |

AQA AS/A2 Further Maths 2017 | Pure Maths | Matrices and Transformations | Linear Transformations | - |

CCEA A-Level (NI) | FP1 | Matrix algebra | Transformation geometry | - |

Edexcel A-Level (UK - Pre-2017) | FP1 | Matrix algebra | Transformation geometry | - |

Edexcel AS Further Maths 2017 | Core Pure Maths | Linear Transformations | Linear Transformations | - |

Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Linear Transformations | Linear Transformations | - |

Methods (UK) | M5 | Matrix algebra | Transformation geometry | - |

OCR A-Level (UK - Pre-2017) | FP1 | Matrix algebra | Transformation geometry | - |

OCR AS Further Maths 2017 | Pure Core | Linear Transformations | Linear Transformations | - |

OCR MEI AS Further Maths 2017 | Core Pure A | Linear Transformations | Linear Transformations | - |

OCR-MEI A-Level (UK - Pre-2017) | FP1 | Matrix algebra | Transformation geometry | - |

Scottish Advanced Highers | M3 | Matrix algebra | Transformation geometry | - |

Scottish (Highers + Advanced) | AM3 | Matrix algebra | Transformation geometry | - |

Universal (all site questions) | M | Matrix algebra | Transformation geometry | - |

WJEC A-Level (Wales) | FP1 | Matrix algebra | Transformation geometry | - |