Answer the followings: 1. Let H = {[a b]: a, b, d € R, ad # 0}. Is H a normal subgroup of GL₂(R)? 2. Let G = Z24 and let H = (8). What is the order of the factor group Z24/(8)? a. 3 b. 8 C. 24 d. 192
Answer the followings: 1. Let H = {[a b]: a, b, d € R, ad # 0}. Is H a normal subgroup of GL₂(R)? 2. Let G = Z24 and let H = (8). What is the order of the factor group Z24/(8)? a. 3 b. 8 C. 24 d. 192
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer the two questions
![Answer the followings:
1.
Let H = {[a b]: a, b, d € R, ad # 0}. Is H a normal subgroup of GL₂(R)?
2.
Let G = Z24 and let H = (8). What is the order of the factor group Z24/(8)?
a. 3
b. 8
C. 24
d. 192](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33ce0eb9-dad7-4563-9387-e646f8eeab1a%2Fcb74c69a-2c5f-4685-89c0-2a4667d70a4f%2F9lp9dn4_processed.png&w=3840&q=75)
Transcribed Image Text:Answer the followings:
1.
Let H = {[a b]: a, b, d € R, ad # 0}. Is H a normal subgroup of GL₂(R)?
2.
Let G = Z24 and let H = (8). What is the order of the factor group Z24/(8)?
a. 3
b. 8
C. 24
d. 192
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