Answer the followings: 1. Let A = [₁]and B = =€ GL₂(R). Compute BAB-1. E A. [9] B. [29] C. 149 D. [9]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer the followings:
1.
Let A and B = GL₂(R). Compute BAB-¹.
=
E
A.
[9]
B.
[29]
C.
[49]
D.
[9]
2. Let H = {[]: a,b,d € R, ad + 0}. Is H a normal subgroup of GL2 (R)?
> True
> False
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
3.
τ
Transcribed Image Text:Answer the followings: 1. Let A and B = GL₂(R). Compute BAB-¹. = E A. [9] B. [29] C. [49] D. [9] 2. Let H = {[]: a,b,d € R, ad + 0}. Is H a normal subgroup of GL2 (R)? > True > False 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 3. τ
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