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Question

Mathematics Question on Matrices

Which one of the following is a cyclic group?

A

The set of non-zero square matrices of order 2 × 2 over R under matrix multiplication

B

The group of roots (real or complex) of the equation xn - 1 = 0, where n is a natural number

C

The group Q/{0} of non-zero rationals under multiplication

D

The group Q of rationals under addition

Answer

The group of roots (real or complex) of the equation xn - 1 = 0, where n is a natural number

Explanation

Solution

The correct answer is(B): The group of roots (real or complex) of the equation xn - 1 = 0, where n is a natural number