Which of the following is true?
2002
Which of the following is true?
Answer: B. The set of all non-singular matrices forms a group under multiplication. — A group under multiplication must satisfy: Closure Associativity Identity element Inverse element Hence, correct answer is:
- A.
The set of all rational negative numbers forms a group under multiplication.
- B.
The set of all non-singular matrices forms a group under multiplication.
- C.
The set of all matrices forms a group under multiplication.
- 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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