Grading
:
Tutorial
Quiz
Assignments
2
Quiz
Check
out
salt
lake
:
5%
5 %
:
10 %
:
End-Sem
30
:
%
city
.
Makices :
A
general
Apa
=
makix
Pxg
:
I ae I
9,
9
92 ,
ap
If
, 2
922
P q
=
...
↓If
,
Diagonal
Identity
-
=
makix
square
>
All
l
only diagonal
elements
matix
same
Scalam
add
Mahix
possible
only
It
:
is
if
Apa
associative
E
Bmn
,
:
Associative
but
:
only
not
Real Jorm
m =
p
,
n
=
q
.
commutative
.
general Jam
Makix
Multiplation
where
when
Sumi
column
of
commutative
:
Multi
i
=
E
Ain Brj
=
1st
A
is
=
+
Bi
Row
of
2nd
Transpos of Mix
A
AT
>
-
Hom
,
ith
The
(AB) nxn
If
we
A
=
3
A
>
-
Q
.
A
APta
ii)
(AP)9
M8
>
let
check
=
A
column
.
matrices
&
A
of
B
.
size
same
nxn
>
-
nxn
marix
P
m=
gEz
.
Joy
u
[Y ]
2008
,
2008
th
.
=
maste
find
M
=
I
M
=
Mi
,
[
coso-sino
sin
cosno
sin
A
2
&
:
=
/
have
AP9
=
I
A
>
-
sqM
a
AP
=
=
Let
A
-
is
i)
ith
+...
A
If
the
&Xp
.
B
=
A
.
becomes
Pxg
becomes
now
Powers :
Mix
Q
:
=
o
Coso
-
no
[
for
no
cosno
1
f
Cosko-sinko
sin Ko
A
=
sin
1
[
K +1:
LOS
[
KO
n
1
Coso-sing
sino
coso
cosko coso-sinkasino
sinkercoso
+
> /
coskasino
7
-
cosko-sinko
sinko
sinkosino
cosko
+
7
1
coskocoso
coskacoso-sinasinko
=
[
COSK
10
+
sin k +
1
-
205k + 1 a
o
hence
Let
A
,
i)
A+ B
ii)
(A B)
iii)
iv)
+
A
+
A
0
,
B+ A
=
+
C
C A)
+
vii)
viii)
(
+
+
0
=
=
-
v)((A + B)
vi)
A
=
C)A
C (LA)
IA
=
=
A
=
( - A)
CA
CA
=
=
A
A
(B + c)
+
+
+
(2)
I
.
proved
mahices
be
B C
sink +la
+
A
CB
Ca
A
=
0
of
same
.
size