Which of the following is true?

2002

Which of the following is true?

  1. A.

    The set of all rational negative numbers forms a group under multiplication.

  2. B.

    The set of all non-singular matrices forms a group under multiplication.

  3. C.

    The set of all matrices forms a group under multiplication.

  4. D.

    Both (2) and (3) are true.

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Correct answer: B

A group under multiplication must satisfy:

  • Closure

  • Associativity

  • Identity element

  • Inverse element

Hence, correct answer is:

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