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Summary/Background

You can use this method of matrix multiplication to transform any number of coordinates.

Software/Applets used on this page

jsMath
This page uses jsMath
You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

Glossary

matrix

a rectangular or square grid of numbers.

union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopic
AQA A-Level (UK - Pre-2017)FP1Matrix algebraTransforming coordinates
AQA AS Further Maths 2017Pure MathsMatrices and TransformationsInvariant Points and Lines
AQA AS/A2 Further Maths 2017Pure MathsMatrices and TransformationsInvariant Points and Lines
CCEA A-Level (NI)FP1Matrix algebraTransforming coordinates
Edexcel A-Level (UK - Pre-2017)FP1Matrix algebraTransforming coordinates
Edexcel AS Further Maths 2017Core Pure MathsLinear TransformationsInvariant Points and Lines
Edexcel AS/A2 Further Maths 2017Core Pure MathsLinear TransformationsInvariant Points and Lines
Methods (UK)M5Matrix algebraTransforming coordinates
OCR A-Level (UK - Pre-2017)FP1Matrix algebraTransforming coordinates
OCR AS Further Maths 2017Pure CoreLinear TransformationsInvariant Points and Lines
OCR MEI AS Further Maths 2017Core Pure ALinear TransformationsInvariant Points and Lines
OCR-MEI A-Level (UK - Pre-2017)FP1Matrix algebraTransforming coordinates
Scottish Advanced HighersM3Matrix algebraTransforming coordinates
Scottish (Highers + Advanced)AM3Matrix algebraTransforming coordinates
Universal (all site questions)MMatrix algebraTransforming coordinates
WJEC A-Level (Wales)FP1Matrix algebraTransforming coordinates