Question:

Consider the group G = {A ∈ M2 (ℝ): AAT = I2} with respect to matrix multiplication. Let
Z(G) = {A ∈ G : AB = BA, for all B ∈ G}.
Then, the cardinality of Z(G) is

Updated On: Dec 18, 2024
  • 1
  • 2
  • 4
  • infinite
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The Correct Option is B

Solution and Explanation

The correct option is (B) : 2.
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