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IAT IISER2024MathematicsMatrices

Let M be the set of all 3 3 matrices with real entries. Consider the relation R on M given by R= (A, B) M M: det (A-B) is an integer . Which one of the following statements is Correct?

Options

  1. AR is reflexive, but neither symmetric nor transitive.
  2. BR is reflexive and symmetric, but not transitive.
  3. CR is an equivalence relation.
  4. DR is symmetric and transitive, but not reflexive.

Correct answer

B. R is reflexive and symmetric, but not transitive.

Step-by-step solution

No solution available.

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