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The inverse of A = \pmatrix{ a & b \cr c & d} is A^{-1} = \displaystyle \frac{1}{ad-bc} \pmatrix{ d & -b \cr -c & a }
Remember that in general AB \ne BA
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Glossary

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)FP4Matrix algebraThe basics
AQA AS Further Maths 2017Pure MathsMatrix Determinants and InversesMatrix Equations
AQA AS/A2 Further Maths 2017Pure MathsMatrix Determinants and InversesMatrix Equations
CBSE XII (India)AlgebraMatricesTypes, zero, identity, symmetric and skew symmetric
CCEA A-Level (NI)FP1Matrix algebraThe basics
Edexcel A-Level (UK - Pre-2017)FP1Matrix algebraThe basics
Edexcel AS Further Maths 2017Core Pure MathsMatricesMatrix Equations
Edexcel AS/A2 Further Maths 2017Core Pure MathsMatricesMatrix Equations
Methods (UK)M5Matrix algebraThe basics
OCR A-Level (UK - Pre-2017)FP1Matrix algebraThe basics
OCR AS Further Maths 2017Pure CoreDeterminants, Inverses and EquationsMatrix Equations
OCR MEI AS Further Maths 2017Core Pure ADeterminants and InversesMatrix Equations
OCR-MEI A-Level (UK - Pre-2017)FP1Matrix algebraThe basics
Pre-Calculus (US)E2Matrix algebraThe basics
Scottish Advanced HighersM3Matrix algebraThe basics
Scottish (Highers + Advanced)AM3Matrix algebraThe basics
Universal (all site questions)MMatrix algebraThe basics
WJEC A-Level (Wales)FP1Matrix algebraThe basics