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
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.
This question appears in the following syllabi:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| AQA A-Level (UK - Pre-2017) | FP4 | Matrix algebra | The basics | - |
| AQA AS Further Maths 2017 | Pure Maths | Matrix Determinants and Inverses | Matrix Equations | - |
| AQA AS/A2 Further Maths 2017 | Pure Maths | Matrix Determinants and Inverses | Matrix Equations | - |
| CBSE XII (India) | Algebra | Matrices | Types, zero, identity, symmetric and skew symmetric | - |
| CCEA A-Level (NI) | FP1 | Matrix algebra | The basics | - |
| Edexcel A-Level (UK - Pre-2017) | FP1 | Matrix algebra | The basics | - |
| Edexcel AS Further Maths 2017 | Core Pure Maths | Matrices | Matrix Equations | - |
| Edexcel AS/A2 Further Maths 2017 | Core Pure Maths | Matrices | Matrix Equations | - |
| Methods (UK) | M5 | Matrix algebra | The basics | - |
| OCR A-Level (UK - Pre-2017) | FP1 | Matrix algebra | The basics | - |
| OCR AS Further Maths 2017 | Pure Core | Determinants, Inverses and Equations | Matrix Equations | - |
| OCR MEI AS Further Maths 2017 | Core Pure A | Determinants and Inverses | Matrix Equations | - |
| OCR-MEI A-Level (UK - Pre-2017) | FP1 | Matrix algebra | The basics | - |
| Pre-Calculus (US) | E2 | Matrix algebra | The basics | - |
| Scottish Advanced Highers | M3 | Matrix algebra | The basics | - |
| Scottish (Highers + Advanced) | AM3 | Matrix algebra | The basics | - |
| Universal (all site questions) | M | Matrix algebra | The basics | - |
| WJEC A-Level (Wales) | FP1 | Matrix algebra | The basics | - |