Download - Seminar Algebra -Sapt 10
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 1/9
-
crercoieiloJY-
tn$
\o
tcnuma
uloe^{,ic6'stO*^
c.\{
turr
ols
}[
h*,*nmo.
\rq$ru
t"dT
1ffildaR
dn
{o-H^af
r)
)
.\ \1[
o\
,,,4\
sdr
1x
\
l:
^
r'
)"
t;
^i
)
\::i
I
0$d'
I
SAE
4
o
cnn&iu
s)
bN*to'
r^N.rdr
\Nr&
kdcu\
ds
dr[r^$.\
f d*
t(
$.N
e
n'h
q$.,&
"uU"1ouuo'
ts^MCIrurco.
.lo.de*
\\
-lreqoo^bluut
1}11'tr'
(c\AL
aoiurru
CI
n'r#utq
J
q
(orucno'-
--_{5--..--.0
\r
,^.,..*-A-
c,o
rrnrwlr0nn{2nc}n
l\\.fNh,r.{\(
t
to,,"r,.orri,ca
.$*"*
Lsrtrfr
tr
[w*Y**
t]v]\r'\*'
I
l''
r,
o
I
**
t^,1*,,
11,*
\
O
{*l
gogw(
L
-
h*
qro\'enfet
U$Y
-
cAd
nvuJetre*\*W*
W
$ry
t*
rYn:
nvq$a'tt
a-u
1'dt'
"
***ttOV-
$ul'"
\tqtol'Ha-)1sl
\\\
\
-n$,t
^-\i
nvulEut
s*
d"
"urq\l.
A,uYu
=
1n$l{^
\
\owo^
&\ud
Anrs
r-
=l-Nz*Nn
\
urYldth
rw
alwn%
le'
'rw&l,,.ma\i\anq
1
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 2/9
?*urS\
,'
tprLrlvulrrtuo,
mm\rtiG
N
u\
o.\&\suA
"'vukgrrtm
PrcPt'.t
$GNeNs,u.\a\frl**rlo\t
('"
\\@/u
,A
t-t)
\
rl
?os^^\
b
tu\ul .uL
cmbtviu,^
A
=
Jf"t'
N'I
=l
knnno-
[O,nnO,r,r\ta,
&UO^^'
€rq-ru frl.n,
9'
e(.
)
of\
-4
+
ll=
j.
;11=f,3
fr
k,
qfu,uA
"nffiLqor
.{q
\Yl
a
{"\
1)
=[
Sda^^
t.*\ \
{
L
);\rr
\rt
e
tq,m@,ydta
Aqgr
:
).qu{*v
'
S
)"=f
,
N'tla
r[]
)
({
,.4_
\lt,\
{w,\
[-r\
l-r
I
'^
\"\
re
l=\T.
'l
"
\-' )
\
4"
_ ,
r
l\?'1
\u.
I
\r_l
,r+
4,-o?.
{
\tr
-g
-U'
+
rg.-
Hg
-
%.*1
g,\
-$.{*b*=Ug*r-
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 3/9
@l
/3
=
-3
t.
*Y,
Y'
h{,
c^
*).=
-\'l
l1'
+Y{&
)
-M
d{
N,I
dr
o
=
L
{-\^\
t,
-rft*
'u.uorc'Tdihte
ti,\
lhl
'Il?.).[1
]
't
\-i
$ =
$r
=
XL \
J
-L
)
"
_4
L
J
t
%r*ztt+Ht=-
t
1
tr
%z
=
-
I
:)
nf'Jf,t
I
Ut-U.=. '
-=))r=Ur-[
nc)
,/\
=
/.'
2
-:
&\a
-L
=
ftz:L
T,r
4Utn\s
=
\ar{
?^
{-
\''
.fu-
ds
$a
^ft[
?"d,
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 4/9
=TedtRmn
toxt'q&l"t
ccrEcffi,q:rnrrnC
(
\xA,[o$:a
d{
uh
luxcrts'ru)
@ln
ll)
r$l
=
ilsa
=
2tr 2'1*-L3:'
'*+{
+
}Ff
Z3
a
\
*ZY
+LLs
Ao,
:
)"Nu)-*
\)5-L
{},4
{
'}'.-t
I
-{
t
)H'
:).[l)
\
116+{
)...'}-t-
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 5/9
cls
1
1
i
i-:
l>\
it
/
tt
I
\
\
I
J
\
I
I
I
I
I
I
I
I
I
w
\ot
tu{ht
$
ttlll
,-\
l"
\
- ,
c
I
L
O
J
q
c
c\
o
10
i
c
c
4.
I
, ,-----\
/
l-
3\
/r
.rol I
f,' |
-
.{"
f\rl
I
t
\f)
\r=
c o\
Li)
/3
w
tl
\
=:
[l
*'
2U
+
92rr
hg
="
L
a1
Lz'2
C
=)L3=.-*'1
*.
1
}_X:
o
4ZL?*g
2a
t
zza
-?
-
L
*)
c
=L
{*t
t\Saril
\
r.r.rou$ffi
lrie
\
Nafu.
]
r \
Utu
mndltrtl
(\\Al
J.
:fi
-1,
{
{
{
\J
o
+t'l
*
tlz
-
+is
zl
s
}L
-tlg
*
Lls
els
l}lg
o
,c
llr
3o'"
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 6/9
@l'
n
,?- r--\le
rl
. o\
{
c
4
rl
z
l/
s
-zt}
o
l
\o
o
lrl
r\
\1.
Ltz
r
I
4(t
)
--/.
Jf.N
-:
j-\
Oi
\{
T
t()
-1-
\f
| |
a
I
t
-6
t
\z
Z
\
/I
Ir-
|
'_
t
',
.1\
II
\l\
\IJ
\.J
t
c>
cO
c
[
0o
Cc1-
-*-"*-C-*__/
l:r
t
"1"\
^L
_1
1
\
L
1l
***<--*"/
|
{
I
I
I
I
I
I
-t_
A"
^)
1"
A
'1
tl
I
-{r
ft
J-
4 \ {t
2
\ \-r
2
-r
I \
r
/\r"\
rl
I
I
I
.1\
II
Jf'.
ft
"
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 7/9
@l
,
.1={c
r
r\l-'s
11\
\r
\
r
3
c
\'\
-r
-L
c
l
\ L z
q
l\A 4
o
)
trn$'r
=
1)
:
/lt\c
0
\
[;'F
ti)
\pLp_
hl
'
\;t\or= lj*
r
)
E"et")bi
\
ffi-q*
^e\
y@k
ryuio^i
y@SN
$,*-'mfoub'r
I
o
-^-
-L
\
^l-Au=\
I
i"u\,b)
A.=\-l
?
:
))
\ 1r
A
\)
r)A3:{
:
I
i)
\;
-i,
j
t
E\
\.
,t
{\
a.)
h
r\
e)L
*$to\l
rcutL
dlu
$)Lt\l
crno\xiu
'-^\rt
\c'I
cil$rur'^ali
v
'
;66PrU'n$
toc6b'l
(T
-t
1-\
r\^ 1l
=
|
o
tt
4
\
L)
t\=\
r
\-\ s
5
I
\-t
lo
I o
\
{--t'
q
o
l
\,
L
j
^\
in,
LQ,^r''-x
'
c)
o
I
\
\
I
I
,/,
l,
n
I
I
-1..
n
)
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 8/9
@/g
olo.rr-i.
\0.
\b^sr^"
\orrrta
&Uo*
f
Iso
\
*
A=[ruo
)
\
r
rq
I
tu
5A
l\{-
.,I*
,
o\Ju
t
i'n
\tt
sn
,
Xt,
Xr-
no&'o'inu
[:
\-r
\\
J.x)
\=:
-L
5
*[
L\
1.)
z
At(+*2"{)
=c
.A
\
n
I
E
-L
L\
1)
Ll
3
)-,
4_
f\
-L
I,"
L
j-A
\E
I
^\l
-[3-^)\_
'I
-1"
5
-A-
-[
-\'t)
,\
'1'
\l\-'
o^\
,-'\ \r
'-^\
+\;
s-
\
=(?-1
)[5-])(r-a)
r.],.F4
(t-I)-l
\
*Lu-(5
^l
7/23/2019 Seminar Algebra -Sapt 10
http://slidepdf.com/reader/full/seminar-algebra-sapt-10 9/9
:
(:-).)f(5-;l-)(s-r)
-
1]*\
^-q
)
',(r"-u)
%
i,
nt
+
r,3
*6^-:;-)+
t
+
x-\
t
r-
\
-r\a
=
(g-
^)[
-
(3-
rl
(
^1--
8A
"
r
t"-)
+Sstus-xg
(r.-
t
)t
s
F-\)
(:t-
q)L
n-(
\*q)'(r-q)
= (r-q)[t*^)(.1-\)+
{
+41
:.
[;r.-
\][-
a]
+\]
-'US
)
(a-\)(-lt
+1)
le)
=
c
A-q
-::r'
o
':)
^
5
r
Suu-
.5*,)
'
L
L=
-
lo
^
--E