Algebra over Field/Examples/2x2 Matrices under Multiplication
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Examples of Algebras over Fields
The set of all $2 \times 2$ matrices with real or complex entries forms an algebra over the field of real numbers.
Proof
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): linear algebra: 2.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): linear algebra: 2.