Which sentence is true? A. Set of all matrices forms a group under multiplication B. Set of all rational negative numbers forms a group under multiplication C. Set of all non-singular matrices forms a group under multiplication D. Both (b) and (c)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.1: Definition Of A Ring
Problem 44E: 44. Consider the set of all matrices of the form, where and are real numbers, with the...
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Which sentence is true?
A. Set of all matrices forms a group under multiplication
B. Set of all rational negative numbers forms a group under
multiplication
C. Set of all non-singular matrices forms a group under multiplication
D. Both (b) and (c)
Transcribed Image Text:Which sentence is true? A. Set of all matrices forms a group under multiplication B. Set of all rational negative numbers forms a group under multiplication C. Set of all non-singular matrices forms a group under multiplication D. Both (b) and (c)
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