MathsNet: M - Matrix algebra - Matrix equations

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Page ID: 2661

M | Matrix algebra | The basics | «Matrix equations»

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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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	-