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Let R be the ring of all 2 × 2 matrices with integer entries. Which of the following subsets of R is an integral domain?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let R be the ring of all 2 × 2 matrices with integer entries. Wh...

⇒ AB = BA ∀ A, B ∈ R
⇒ R1 is commutative if AB = 0
⇒ A = 0 or B = 0
⇒ R1 has no zero divisors
 
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Most Upvoted Answer
Let R be the ring of all 2 × 2 matrices with integer entries. Wh...

⇒ AB = BA ∀ A, B ∈ R
⇒ R1 is commutative if AB = 0
⇒ A = 0 or B = 0
⇒ R1 has no zero divisors
 
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Let R be the ring of all 2 × 2 matrices with integer entries. Which of the following subsets of R is an integral domain?a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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