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D lnlwduch'on to 'lnl*trices
ft nNnN is a uoay +D rep r€SerT+ axnvy= l(8x- = 3? _? 9
a S v:SK mof e?1 uhlii)flS.
fe
3
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l
=A
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lrj+rrs)
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Tne hurnwrs in *his nk+nx rqr€gnf
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il
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he
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w
Iz
-3 Ll
r l-t lt
v-l l= b)
E:: ,'*"il aa o hns,wer
TYwre$re )we can so7
AtE
z
I 1 -to) L
Let's
lrq lhis one
Suppose
c=[:;-] and vv D=ll:l z LoIJ
*xa
-
*.
6ndC
:s I
aJ
3xa
D
|ztl :[til=tr:{ t,il[;? :^J
Fnd
D-c ,hrswr: q1
[-s Noli ce
Si?ns
f-q tt
rl L":\
3
htrr +ne 0ngmers &ye noF +nt
O o" O
O,re Sturi2hed.
fherelore , we Can sog
CFD+D
SA ffiet *he
[Lul+.plt4 bt4 a Scatar
"^il
q rl fA=
=f;
g
*(e
frnd
b srJ
(a hon- nklnx
Fnd
(dis+nbuff
nurnbe)
;1 tD eachereme,r+)
: ^,-1 = [,f'*,:l fLiol L-ts o]
oA f-.m.-
4 t3
+ r
L3 o
f - ra
;l :l
Lq
I
M ahix E ukh'ons
Solvi
U;l
A=
"^1
Solve
-:1
B= [--r
Lg
3XyA =B f
Unnhourn
rnailV
/
Sot
ve for
Xin )lv
3X+A -A
eQ,vahon v
I /a u\ = L [,- n\ / ibD=5(vC
(slUot
x=
:
E _A
3X=B-A \-
x=t
first
donoldivide PiJfi
YYgtncet ces-''
instead
;':
l^^,Lh n .l^] borh
sides
A)
u
Plu 3
),h
P'J,
by"'/3
in rna+vi X A and, B
-al f-') , J\
!(f, ;l-L:;l)=
I le -gl 3lu
5l
*nsv,=er
vleep fror*otts io
*|rc hnahi X fo,
-l-he -
Anal AnSwey^
"
r;, i,,1
Using
lhe
Same
A and E
as +hL lasl prob)tr{l :
Solve b* X= 4 A ,r-
LrnLnourn rnatri X
/
$tve ?rx X in ihe eguation
B-X= B
X=
-l
(-
X
Ll A
_B
Ll A-B
\
M u tkptq
both' x)= -r(uaD/ Sides bg -l
=
n+B
'l
IUclt^,1
X=
_01$:
_t
l:
[-;
hone worVl:
pt ..g
in y"nalriX A and
E
o,]
:],
?9'ZBq # 8-
11 evensr
lB- ab evus