a (a) { [ ] Є R2×2 | a+b+c+ d = 0}. C а b] Є R²×2 | b = c = 0}. (b) { [a (c) { [ a b ] € R² ײ | b = c = 2005}. C (d) {[a b] = R ²x² | b = 1, c = 0}. с (e) { [a b] Є R² ײ | a = 1, d = 1, b = 0}.
a (a) { [ ] Є R2×2 | a+b+c+ d = 0}. C а b] Є R²×2 | b = c = 0}. (b) { [a (c) { [ a b ] € R² ײ | b = c = 2005}. C (d) {[a b] = R ²x² | b = 1, c = 0}. с (e) { [a b] Є R² ײ | a = 1, d = 1, b = 0}.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 31WE
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Question
Which of the following subsets in the set R^2×2 forms a group under the usual matrix multiplication operation?
![a
(a) { [ ] Є R2×2 | a+b+c+ d = 0}.
C
а
b] Є R²×2 | b = c = 0}.
(b) { [a
(c) { [ a b ] € R² ײ | b = c = 2005}.
C
(d) {[a b] = R ²x² | b = 1, c = 0}.
с
(e) { [a b] Є R² ײ | a = 1, d = 1, b = 0}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7cb6c0e-024c-41ba-94bf-3ab979c86f64%2F9602dc2f-809e-4f23-9aa0-77451add28e9%2Fnek9n0j_processed.png&w=3840&q=75)
Transcribed Image Text:a
(a) { [ ] Є R2×2 | a+b+c+ d = 0}.
C
а
b] Є R²×2 | b = c = 0}.
(b) { [a
(c) { [ a b ] € R² ײ | b = c = 2005}.
C
(d) {[a b] = R ²x² | b = 1, c = 0}.
с
(e) { [a b] Є R² ײ | a = 1, d = 1, b = 0}.
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