Ring of Square Matrices over Real Numbers/Examples
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Examples of Ring of Square Matrices over Real Numbers
$2 \times 2$ Real Matrices
Let $\struct {\map {\MM_\R} 2, +, \times}$ denote the ring of square matrices of order $2$ over the real numbers $\R$.
Then $\struct {\map {\MM_\R} 2, +, \times}$ forms a ring with unity which is specifically not commutative and also not an integral domain.