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Let R be a ring with at least two elements. Prove that M2×2(R)is always a ring...

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Basic Math

Let R be a ring with at least two elements. Prove that M2×2(R)isalways a ring (with addition and multiplication of matrices de?nedas usual).

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Let A M2x2R B M2x2R C M2x2Ri Now AB M2x2R Since R is ringii ABC And ABC Therefore ABC ABC for    See Answer
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