Which of the following statements about the order of elements in the group GL2(R) is not true? (a) The element [-1 0; 0 1] has order 2. (b) The element [0 1; -1 -1] has order 3. (c) The element [0 1; -1 0] has order 4. (d) The element [1 -1; 0 1] has order 5. (e) The element [0 1; -1 1] has order 6.

Which of the following statements about the order of elements in the group GL2(R) is not true? (a) The element [-1 0; 0 1] has order 2. (b) The element [0 1; -1 -1] has order 3. (c) The element [0 1; -1 0] has order 4. (d) The element [1 -1; 0 1] has order 5. (e) The element [0 1; -1 1] has order 6.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 39E

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