(b) S= {[a b]]a,b ≤ R}, R = M₂ (R) Г. ורג n U
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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Question
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From an abstract algebra class in the rings chapter. Just the one circled please
![3. In each case show that S is a subring of R.
b+d},
(a) S { [
(b) S =
; = { [a
]] |a, b, c, d = R, a + c = b + a
b]|a, b€R}
|a,b ≤ R}, R = M₂ (R)
a
{[:
0
JAGER}.
0
(c) S = <
(d) S =
0
b
d
C
0 a
2b
26] | a
a, b, c, d e R R = M₂ (R)
ER},
a, b ER
R = M₂ (R)
, R = M₂ (R)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe87a569b-7721-4104-9b29-fedcf0a2817b%2Ff0a1277a-f75e-4d18-81e3-a2569b311ba8%2Fnt147ad_processed.png&w=3840&q=75)
Transcribed Image Text:3. In each case show that S is a subring of R.
b+d},
(a) S { [
(b) S =
; = { [a
]] |a, b, c, d = R, a + c = b + a
b]|a, b€R}
|a,b ≤ R}, R = M₂ (R)
a
{[:
0
JAGER}.
0
(c) S = <
(d) S =
0
b
d
C
0 a
2b
26] | a
a, b, c, d e R R = M₂ (R)
ER},
a, b ER
R = M₂ (R)
, R = M₂ (R)
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