C e 4ch N u ra e eu g dt A a. te t calez let e e sa en es é (: aa'= e) guess : a² = e| (a? = Te -Hhy 2? lal=2 4* -c) a e Nothumderstand this Step 2=e not olther number %3D for example Let 141 =1 lal= fe = 시 %3D then e ia ly donent f 6 10 or 15 I not understad 2, e nou that I think well 2 e = é' why 2 (two)

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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Let G be a group, a €G. Prove that a = a+ a<2
Concept.
let G be a guncup sych that aEG
and a' is invers e of a
then
a.a' = e
where
"e" is identity element ofG
and
lel=1
given
G be a group,
we have to PUnove that
Porf:
kase I
let
a = a
if e =a
then e = é'
lal=lel= 1
then
9 = al
(: a.ā' = e)
1.
a. a
guess:
a.a =
Why 23
= e
Nothunderstaud this
Step
7.
2
= e
lal =2
a? = re
not olther
number
thatis
lals2
2
Let jal = 1
la/ =
re
for example
then
e is only element of o
10 or 15
and
we know that
I think well 2
ē' = e
I not understand
e = e
why 2 (tuo) 2
let
jal = 2
then
q2 = e
a.a = e
but we know that
= e
from CI) and (2) we can say
a = a'
case 1 and
ca8e 2, we have
forom
Transcribed Image Text:Let G be a group, a €G. Prove that a = a+ a<2 Concept. let G be a guncup sych that aEG and a' is invers e of a then a.a' = e where "e" is identity element ofG and lel=1 given G be a group, we have to PUnove that Porf: kase I let a = a if e =a then e = é' lal=lel= 1 then 9 = al (: a.ā' = e) 1. a. a guess: a.a = Why 23 = e Nothunderstaud this Step 7. 2 = e lal =2 a? = re not olther number thatis lals2 2 Let jal = 1 la/ = re for example then e is only element of o 10 or 15 and we know that I think well 2 ē' = e I not understand e = e why 2 (tuo) 2 let jal = 2 then q2 = e a.a = e but we know that = e from CI) and (2) we can say a = a' case 1 and ca8e 2, we have forom
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