Mathematics · Abstract Algebra
Consider the ring M2(R) of 2 × 2 matrices over real numbers R. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1M2(R) is non-commutative with zero divisors.✓
- 2Every non-zero element is a unit.
- 3M2(R) has no zero divisors.
- 4M2(R) is commutative.
Correct answer
M2(R) is non-commutative with zero divisors.
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