CƠ SỞ ĐIỀU KHIỂN TỰ ĐỘNG CƠ SỞ ĐIỀU KHIỂN TỰ ĐỘNG Btl đại số tuyến tính cô vân
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>> mi:riul:atls(z)
r::cdutr:
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splh:
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?:
>> z-i l-l-i+srp:t(
1;)'F{1 -1i;
a.rgmtrr:iit'-
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titi;rJrll
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>> spllt'=z'
S:l':lll
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'i:l,a 4r
xy
>> eui.'lot{{x'1 }'\2+ {ir- X )"2.==: 1 )
>> trr*ld cn
>> ezsLot{{x- i ; ^2+(y+2.)^2'='='t')
>>sy1?1s
t.iliB
:,
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f
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:"3
>>syrns:d y
>> ez-piot{(2*x}'\2+(2*y-})^f:-l)
>> lroid *n
>> ezpXot{{38x-3)'"2*-{3'Fy+-2)^2::4)
r.-":u
.tr,:
;>syrnsxy
>>
t
[:y
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y]:scxv*{'x^Z-y^2-x:0','2 *x*y.'-y-$';
,{*,rru f'ti;rcfs #tJi t}{i
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>>
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Ll
1
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Ciicn S;
>> /\i=f')
;';'
!j=.1-1
" 1 al
{'? 1 I -1 l"
2 il -1;-i 3 0 -l];
>) t{l):/\r'i'i,
-'?l -1-.
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l?
J
>)'
LI
f-\
U
^I-1
5 V 0-4
({l)
ve i-=1r:lcr
\'*:
I
=
-3
>> hang;lrenk({J)
ha*g:
?"
>> dirrhthuc-r-tet(C)
dii&thr":c:
CI
t-i*f,i
9r:
=t 7i=f{i 2. -4:-1-4 5;i I 7;0 5 Hl;
>>
nan-k{,r'}
3
>> rank(A*A')
,
I
J \
ans:
..\
I
n
^,
\
^'
d,ttl,!. ;i{nrct'l Flttl {:Q
$'
]
c{.}r}il ic-AT'{-Ap s *t*pt
>> rank(A'xA)
:
ans
3
Cffu jS;
>> A:[tr 21;-I | -2];
>> B:["1 2;(t 2;-l 1]:
>> C:lZ t 0;-i I 1:0 2 -i.l;
>> atc-.8'*c'
afts:
Cffar
lX:
>> A:l-2
\> /tr A")
i
2 5
-9 -s
CI
s
i;-3 1 2:,-121 1l
at r.t -
-1 0t
-1 0l
"1 CI
1
>l= ?,;s'l .lr
ans
-
00s
0.0
000
{}
d-iai{ il.{:
>:, 1,.=i3 4
>-='irr;"\
5;?_,
;;t riu
::r
t
7>:2 S Z:;
qrt{ ir:r** (:\. * A'.i)
fiobeniers:
i'2.3693
q-fitt
9-9:
>>A=-il I\tr;23-1 4;-1 \*2:223m1;
>> ni-:solve(det(A))
r.tl:' -
m^':i317
il#an X4:
inv(fl
ans:
0 2,;0 1
0]*[1 0;1 X;0 1])
-1 2
I -t
g.
f-e,"
Lgu tn-r"
z> A:l_2
I 1;3 t 2;1 -1 0l;
4fttr
GIIJ
=
102
E4
J-Ji
-3 2-4
CSll tS:
>>
F
A:[3
-26;51 4;3 1 1j;
L,ea:cr &t&yeh Fe6i F:6
I
r 'i ) l; ; ,
,
;i
>> ts:i_l 1 -1;0 2 5;i -lZ inl:
)) s1-:s6|ve(rlet(.A* ts))
ans
:
rn----1"/1,:.
c-a&! 6 /:
>> A:[-l 3 Z;Z IO:,:i 3
>> FA:det(A)*inv(A)
PA -=
14"1
L
.J
lj;
":.
-2 -9
215"-t
,4.
C&w nS:
>> {:ll 2 1;2 3 m;3 2 ..i i;
>> E:|1 1 1;23 2;5'l 5];
>> clet(l-i)
ans-
,f-14""
0
s db,
>> A:[Z 3 1;3 4 '2;S 3 .t X;
>> FA:det(A)*irav{A)
[]A -'tr 0.0i]{]C! 5"00{}(i 'J..{}{i*i}
13.0fi00 ".7.{_}cili} -i.iliiilil
-i 1 .00c0 9.s00i] "1.0*0il
fl'r,;"n
t$,
)->
1i2 1.;2 3 .n :i;.i ,rj.fi ril;
;''> A(2,')='A{li, :)-.i * A-i.i .'i
A:il
A:
11'2r
0i03
3 4 {t t
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>>- A(3,
:):A(3,:)-3 "A{
A-
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-
i
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1i21
010i
010r
>> A{3, :):A(3,:)-.4i2, :)
A
.a\
-
1121
0i0-i
0003
Cfiu ?X:
>> xa-12 -t;3 1l\f-Z;1ll
A<&
{).2000
2.4i){}0
t> xb:[-l ).-\ 6tltx ."')'5
")",t -.41
xb
==
3.0*00 -2"CIu00
{:;u
lt&nh ngi ba'
!'1,,J P "8
illE
ii,{
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iY)ATLAP S fl}tiM
5.00fi0 -4.000il
>> xc=13 -1;5 -21\i5 6i7 8l
XC:
3.00sCI 4.$000
4"0000
>> xcl:[0
6.0il0i1
-L*
3;i
-S 9;2 3 8]U-25
T
4?;'3tt
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--_
XLI _
1.00s0 5.0000 7.0000
2.0000 -*9.*0$* 3.0000
-3.0000 -3.fi000 -2"0000
Cf,s 22:
>> A:11 2-3 4:) 5 2 3:3 212'"4 3 C 4l
>> B:17;6;7;81;
>> rank(A)
anS:z't
>>runki!A.
I11)
ar:;:.i
q._sl-t d-1:
>> A-11 2 -1 :;i 3 -13 :2;3 5
>> B:11;_1;5;41;
>> rank(A)
i
^2;23 a -i.3;
ans:
2
>'> ra*-k{l.a
{3'i,)
anc :
2
rl^'4,"
"tr '{ "
>> A:11 -7. .1 -a.,3:; -5 i;-'21'2 -3;3 0
to 13:12;-3;5;8J;
ans
:
1{"t
j;
==
a
3
>> rar*i(fA
3ns :
hl
j)
4
Cftau ?5:
>> syrns
-m
>>A:| t i l:);.3-1;342A;-2-l0rnl;
to
g:[1;2;6;ni-1.];
>> det(A)
ans:
"16
L"?c.! 4b:
>> A:ftr 3 3 :2 4;t 4 5 3 7;?.5 41 5;1 5 7 6
>> rank(/r)
ans.:
,
3
>> A=rref(n)
A:
J
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t
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r
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I
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i 0-3 0-5
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03
0{"} 0 tr0
000
00
>> A(4,:):11
1n4
IU...1
t,
012
0* 0
-J
03
1n
0
>> syms t1 t2
)> R'=-i i'kA.(:,3)-i2*A(:,5)
r}-
.O'ililr,t
ti...;il yi t2:x5
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3*tl + _{,Ft?.
- Z*tl
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n
ti
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>> A(:,3)'.,-f]
,{
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1{ii)
0t{J
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>>" tui.=i-l I 1 S;i
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r'nit kI l,'l i
f;.i
l;i
--
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>>'ndinas{V}
!:ll Lil -
.1
>>
rre{V}
1r!4f1fi
1 "\JL UU
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t-i
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illLlri
)) 1:Pr:ll*Pr
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0
2
a
--)
CAm l$3:
>> P:[n 1 1;1 1 0;1 0 1];
>> x:i1.2 _t];
>> xli:inv(E')*x'
,slrl
:
0
2
-1
q.,r9ill
J4;
>"> synts m
>> M=.[l Z -I'"21
.--.> ; 11^-==qsl
{liis.=
wi
-:
-\l
vr:(deti
J7l2 rl];
1"1))
13
C$.ar 3Sr
>> syili5111
>>.V{-.[1 _Z i;3 1 -i;rn 0 1];
":'1
111^,;:s61
ve(det{},,{))
i,}fd.F =:^,-:
!i-. ii.
{.( -l
:1
-== -7
:
"-
j\,{:[1 I I;2
>> rtr:{M)
3.115 ;,-r,
i !;i
Zli.l:,
0
Cli* 37:
>:\E:-fl I 1;i 01;1 101;
>> p:[] I Z;1,2l;i I 1l:
>> lvl'i *ctrlliy*n*o{}- so
il,
_san,ir, _F:inv(F,)
a'
F
i\dT _i;i:uyen _c
t?"0
0-i I
ilCI1
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C'i;rt i,"1:
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qt.i.E-tt.l tn
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12
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t \ '';
ktirth rcpi ttp'
l
CA
[ :' I\IATLI P I D i t': n't
>> inv(M( i :2,1 :2))* x{l : 2}
ans:
-)
-1
m:[1 l]*ans
>>
tr1tr
:
,L
')
Cftur 39:
>> F:[1 1 -i -1;1
>> syms m
>> G:i2 -i 0 rnj,;
la
-t 3 -i];
__
-t
i
20
10
0t
>> rank(A(tr;3,:)i
t_:i:
15 --
2
>> rank([A{1 :3,:) G(1 :3}])
a
ri-!
-=
1
J
'|i:l/'h'.ln;i ictt
,f ii;1
i:-i.i.
:rl
i.;i;1
;'">\r'=i{
-l
X
ft;O
) i:- Ci-l(,f):pi ;i1( V,
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i')
(-:u:;iJ -=
*/,')l
'
-
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t0
01
ri-ft?t 4 E :
>> Vtr:i8 _6 1 0;_'/ 5 i) 1l;
>> V2:fl il "fi 7;0 I 6 -51;
>> Vi{1,:)*V2'
ans:
00
>> Vl
Q":\*V2'
''\-'"/
ans
-
00
{ .R4I 1$i:
>> V1:[-2 0 -6 5;1 I -1 0];
)> syms m
>> V2:12 ^1 1 2;-1 3 2 m];
>> V'i,(tr":'i'F'V1'
'."\.9./
ans:
.
[0,0]
>>
V2(i,:)*V1(2,:)'
ans:
s
{-,ww h&wh ytei ba
!
,
CODil
E,{A T'T,AP
3
ili\f'If
/\
U
)>
rei:so1ve(V2(2, : )*V
m:
1
(
t, :)')
2
q._&t{
4J:
>> u_=[i 1 2];
>> v:i2 I -11;
>') cos_u._v.=dot(u,v)/(nonn(u)
cos*u
v:
*
ncrln(.,2))
0.1 667
CSer 4;$:
>> u:11 1 lJl;
rl:norrn(u-v)
::">
d-
1 1r^J.10./-J
)")" w:i:rElss{u,v)
'/V
fnA
c"-triffi
-J
43,
>>
l;'i1e
)
4
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/;
A:iZ
_"1
i);_3 5 _1;0 _1 4l;
>>u:fl 2 ij;
;.;,.u_f -i I :J;
.
>> v,/.=il_v;
)> 6E1q{{==sqfr(w*A*w')
cau.r;5
1
4
:
.^'1 Gu
. "u -r.J (,}
:'>' s6i-1;{$.'.i*'! A* v'i/inon:r{ri)'o non.'i{'vj)
c-:.u4,t!.=
t n-t 1]
4.3)JJ
ea.u47:**i 1{lF *A],'r')
cau l7 -x "5000 *.5ss0
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1.00*{,1
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Cfiu 48:
>>
)>'
0
1.**CI0
f:[Z
1 _3;tr _a 0l;
0c s0:tu..11irif,'r')
0{3$o
:
1 ianl
r "J-1J.1
CI.3333
n
"*0CICI
>> chieu:si:;:*{r;cso', 1 )
'
..tr-,it.o*:
vtrta s
1
C6sd
4li;
.,\
f
ll
>>
f-l
! 'lJ a.i_;;il1\ ?{
>> im"Frr:*f(f)
il:rl
0
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=,
Lvraa fs&yrlz
d
l;i
i
*,&i k6"
IO
{ODil ''i ',7't.tlF 3 illll.,,!
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ehier-r-ndims(irnt)
chieu:
1
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ecsc:imf(I:2,:)
-
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r01
01-1
C$& 5{i:
>> 12==il /;2 -t;-1 1l;
>> f:l? O ?l''
>> tr;q:(inv(f"l'1*q'* g,
kq:
ar
-^l
t-au 3[:
"';=
.)
i]:[l i i;i
0 1;1 1 il];
>> fr=.;| \;2LJ
:'> ,A-l-J i -3;0 3 4];
>> f,=[l;2;3]; .
>> k;q:P"r'6*inv(E)*
l,tl -
f
-9
2
fl&cs:i?:
>>E:[i
1il;O
>> f:i1;2;31;
1];l
i] nl;
X
I
0
-,
L
t-'rt{{ 3J:
>> A:[i 6;5 2];
>> u:[6;-5];
)') rr=.[?'-?l'
t
LJ1
LJ)
>> tr-_u:unique((A* u).iu)
Ir'_u:
-4
9/n
",tIa V'XR cua ,4
)) tr- r/:unique((A*v).iv)
tr_v:
-5"5C00
-3.0000
v k-hong la V'I'R cua.z\
o/n
q--flE"$
34:
>> A:[3 4;6 51
>> ntli(A-l-eye(2),'r')
; f-t"ru h&rc,tc yffii b{}
ii
CA!}}i MATT,AP"8 ilIEM
nns:
-l
1
{h
-t
la
l'l{
cr.la
r\
>> nuiliA-3 *eye{2},'r')
n?iq :
Empff mafrix: Z-bv-il
9ir .1 Lilorrg
{-icE{ 3:}:
:'>4113
ia'l't{ *uc.
rnN
1t;z'r2;llil.
>> si,fns a
.
>:r tr:r:ueique(solve{d.r:t{A.-n*eve( j
))))
+..--
a
L
a
o
)")"
y{1
,+-.'1
vr"t I
"l
:sg.ll( A-2
{.
rye{-r, ),'r"')
-
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-1
10
01
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v-[r2=-nul1(.,\-6d'eye(3),'r'i
,v r..l
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I
2
1
:i; ,i1r tl-lt".*
'-.,'.1..
^.
)'}
Sylns a
,r.rt
I tlt
>> A-=!"0 -B u;- is
I ,1 r.,"' j;
)-> 3.tr.-ss{ye(det{A-? * ei,e('.i }))
m :11
rr^:[r] -8 6;-t -g 7;i - {,i t ij;
>> tr=unique{solvc(de t{A*a,F eye(3
)))
"t
t*
.*
tl --
-L
.\
/-
,)
J
>) vfri :null(A-2
./trtr
:
* eye{3
),'r,)
{\ na4n
rJ.-)J-"'J
CI.6667
1.0000
). wr2:u ull(A +.2*eyc\j.i,,'')
, il..../'}
^t 1L-"/- -..
-
1
1
,!
>> vtr3 :i1ul
vlr3 :0.4000
{(,4--a +ey.;(3 )"'n')
CI"60.00
]-wu hhnh woi
r
it*'
1?-
('{-}I}f
MATL"4P g
Dt|l,t
1.0000
flA
E_d{n 5
/:
>> A:[t 2 3;2 5 4;3 7 &l;
>> rref(fA eye(3)])
ans:
10 012 5-1
0.1 I -4 -1 2
q.0 i."r-1
1
>> MTND:ans(:"4:6)
MT]r]D:
tl
lz
J{
"r"l
-4 -1 2
-1 -1 i
Cfirr 5S:
>> Vl:L t 2 -1;3 ?. -1'0 '2 -1);
>> syn:ls m
!\
l,{
,:s- ":f
w
fl
'l .Q.*- i'
L_'
9\,.L\'.1
1
>> ld:(nef(l!'I))'
lv; *
1.0000 0 *
0 1.0*CI0 {}
0 -0.50*0 0
>> x-'M{i :2" i :2i\n( 1 :2)
..)
i)
il'l
=
4
Iar:tua
"nFI \1&o
* / .
::\/-r1
?-1
V*L!
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--
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r--r,.w:.-Ljt
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syrns rn
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l.
//
\-L-L-J?'{"n-:
zJ rrt1i")
>> V_fr.^ryir\\t
. \. tu-t\. Y l,
Y_
i.0s00 0
0 "il000
r
0
.
0
CI -0.-i{is0 0
>> x:V(1 :2,1 :Z)\ui i :2)
X=
-3
5
>> rn:V(3,1 :2)
.
Fx
t{t -
-2"5
.
CSin
6{,$:
:-,
TT-tr
.2j;
v
L L L\L
t',2 iI 0
W'.Z;]J
-,
Lt 21
:>
syrns
ffi
q,a ft 1 *]
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CI
\/r'\ &-!.\)
^'--rr T.\/
r.t I'l,
r Lurw fu&yt{a, w#i h&
-l ml;
,
I
'{1
CCDE !r:!A,l{'l.rlP li
'?fgll4
>> A(2.: ):.4(2,:)-2*A( l,:)
A:
i1, 2, .1, 1l
I 0, -3, -2, -4j
1.1" 5, 3, 5]
13, c, -1., in]
>> A(3, :)--A(3, :)-.4{ t, :)
A
f1
--
*' 11., 2, {. ll
[ 0, -3, -2, -41
:3, 7_,, 4]
| 3, 0, -1, rnJ
>> A(4, :)=.A(4,: )-3 {'"41
1\:-
L*,
1,
:)
A
1, ;1,
l, i]
fi -t _.',
*a-l
2,
{J, :},
4}
8, ^6,--4, rir' 3]
.\,-.\f
.\-:-/1.ff
>>
1 at\4.r")"\
' '
!l\('1
. \\J.i )
\",)")
_t
/1 'tr '! I
l- -,ar l,
1-l
1l
0"".:.7, -,"1_,, ".rt\
fi, il,
il,
0l
[!,"-S,"-4, m - 3j
>.>,", (4. :) -,"".{4. : )- Z'' A(2" :)
l\ :r:
i t I,
r'f
ll
.'i
/!
?
u" - )" ".1.Ir 4
a:
1J) \_J, \.i i
Ciian
..ll
-,-i i
r\l
Uj
fi, 0, *, rn i- 5l
>> ?i'm.- -5 i.iri I-l {.;'ung V
61:
>)' $yn"is ln '
>:'V:f 1 -l {i;2 21 1;1 I
>>-
V:
.r ,--1.
r. i r.!.1)
v{2, :) .'1,'{21" :} .7't' V( 1,:)
1, 1,'-1,0]
il, {], 3, ll
tr" 1, ?,rr'{
>> v{3 ,:):V(3,:)-V(|,;)
\/:
j, i, -i,.nl
In r] '1 rt
I rr- v"
J-
,_
I
0, *, 3, ml
>> V(3,:)=,V(3, :)- V(2, :)
ar *
l-
1,
1,".i,
0_i
| {}, 3, 1l
o/r
| {i, {}, 0, ill - 1] *t--:11 th: di*r{Vi
{},
'
>> V:sui:SiV.nl"
r.nax
1)
!,*"* !$aeb/,.t ?2$i bp"
t4
('Oi ': t//Tt 4F I
illT'iL,t
>> cosc:V{tr:2,:)
cOso
-,
I I. t. -1,0]
I0"0, 3, ll
>> soetrrieu:size(coscl, 1 )
-
sochrieu
q-iiut od:
2
rr
TT-[1 n
u-\t t t 0'"2 -l 1 ll:
-."
tt iY*s *
1
:,>V-[\i-)l;204nr];
),> sn ivc(''lcr([U:V]))
2r]! -0
)">
sr;fisubs( [U ;V],m, 0))
\"'y' -=1
il*n
f fl i
4t71
ft
-1ft1
/1 f-t
11, 1, -2t71
I
s- ;..r)
1
{}, [], 0, 0l
>>'*{}gc}* vV(i:3,:)
oilsc i" t),,t1, 4l7j
>;"
s{-,,c1:t
i:ti-ti.il.ri.iJl
l-i}
'\), 1" {},
"-tr
/\
:t
4 /-:f
t i
-/l
!i
i!
I
I
.i,r::'=.siz*(c* sc, i )
i
"3
t,8ll
3*.-;I
>>- lJ=.11 1 2
)..'} j:/ii13 ill
-
0;-1
I -i 2l;
>> v,=.ll 22'2;i 0 -1 ml;
;"> ,,o,.=i_LI;Vl;
>> tti2,:):A(?.:)r"a11,:)
It .:
l,
2,01
8,2,
1.,27
1,
1''
all
t,
L1
L'
L]
*-:
d
/a
. -tr, CI, -1,
ml
--'-,'tU: :):A(3,:)-A(i,:)
A_
i" 1,1, 2,03
{ &,2, 1,27
I o, t, t),2]
[ -n, 0, -1, rnl
>> A{4, :)*A(4,:i+A( 1, :)
rn-
,
:'
s
{ r, r,2,0J
il *,'2,1,'21
i" 0, 1. 0, 2]
Io,tr, 1,mi
t.;sta n#.nfu
fi&i f)6
t3
.- | {,} {-i
Ii
l',,{;1r'
i i.,4 i} "8 $Jer'Lf
>> A(3, :):2*A(3, :)-A(2, :)
.1-\ -
[ 1, 1, 2,0]
a,2.
1.2J
-1,27
l'0.0,
[0, 1, 1, m]
I
>> A(4, :):2*A(4,:)-A(2,:)
A:
-' | i.1" 2,
dl
2l
10,2, 1,
[0, 0, .-tr, 21
[ 0, 0, i, Zain - 2]
>> A(4, ;):A(4, :)+;113,;1
A:
1,X,2, 0l
4,2, 1, 2l
0, 0, - 1, 2.1
0,
0, 0,Z'krni
>'> Tcii'irri tJ gia*
>>
:':'
V
A:il i 2 0;0 2I
voi inroi nl
Z;* S -1 2l;
i*_ 1
coso=',{rauil{A,'i.')i,
fioso :
"2"22.1
t_ fi1{ ;i},{:
>> Y:l_l -1
>>
r{,i rii
(-:{Js{.}
1
0;0 1 1 1l;
i.-.nui1(V,' r,)
"'
21
1rl
01
Cf;u 65;
>>V:itt10;_1 1*tl;
;;")
co $r] Fhantrl,t,r'uonp,!;it c-".Tref(V)
{.i*$0- i.rhani:uv*onggoc
1.il000 0
il
:
0"5{"j00.-c.5000
l.CICi*S 0.50fi0 . 0.5000
>)" eoso__Fhanbr:waonge4oc,=2 *nef{V)
*;r:
so*ph;unbu\ruCIng g/"]0
:
2 01.-t
4211
Cffu
{B6:
IlrVx:
(,.1918
-il"0qs9
8.5455
I,stw
hiri!.t n6i bo
rs'
16
L'L":,i' M,
'J'{.AP
g 'i}iEM
$.4545
s.-REt
$
/:
>> V1:[1 Z 1;_i 0 1l;
)) syms m
>> VZ:[l ,i rn]';
>> xv,1.={iref(Vi))'
t\/t:
tl
IU
OL
-t
11
r
>> in-V i (3, :)'! inv(V 1 {L :2,:)}*Y 2{ i :2, L )
.,:
CSar 6$:
>> F:l-1 12/1 I _Lj,;
>,> x:[i 2 3]';
>> llrFx==F';i t.nli'(F' * F) {. F'r X
:
?*En,
d AI A
X
"3,429
'I A'rll d
l.-iLUl-t
3.1i4.i
{l$rq {i9:
>-'
A-[l 0
l;0 2 fi;.1 0 3l;
>.> u:[1 tr 2l;
>> v'=;,2 i -t];
)')' i7= 1.i.-rr;
.>'-- g*c*4i'-i;]- i _1.' ',,'.:L'{{'.tFA*'r')1(ri+;'tni:r)':'r;r;:,.tiio;)i
go*= gir"la _r,!,__v'''
] \Ei,q
>>
'
{'
L'Jr* an g * a -.:li = s qit{w-':* A- w'
)
khon,tg(:ae 11.,
5".9310
C,&u
"yffi:
>> es*k gb==r uli {(ff ;d,'rn)
l-c ]rotrr :
0"8000 :t.6*aa
1.0000
{.Su
0
7l;
0
1.0fi00
>>R3:[i1ff;iii;l
CI1];
>> R2:[2 _1;t 2;-1 i];
>> A:rceffi_R3 KZ_l)
r\
-11 ---
1000-2
0t021
00113
>> syrns xi x?" x3
*
*A(3,4 :5}
7> kq:x 1 A{ tr,4:5}+N2* A(2;4:5}+x3
kq:
.
i2*x2 * x3,x2 - Z*xl + 3",13].
s l)aru {a&n4a n{ti f}o
)
1-l
C
AA
q"_flEt
tjllE
i,fAT'L,4 ]:'
I #IEM
/l:
>>
fi.fl
Z -3;Z t) ttr;
>>E:li1i;i0t;ttOl;
>> F=.1-l 3;2 5J;
>>;\:E\f
>> P:il\E;
.
>> Q:F\F'
>:'AEF.:F\A*e
AEF *:
.I
t
/"t
/4. I
r- .i
{ -iau /-$:
>>r\.=[1
ll;]12;L2ll;
>> B:[] 2.1;Z \ _i;5 4 _il;
>> E.=il 1 0;0 tr l;i I 1l;
," ;-tr .=(lr.\ts) r,Il,r,{A\E)
l!r
t\ l =
-i5 "6 't,2
li 5 _-t
10 4 -S
{lftu 74:
>> ll=|1 1 i;1 CI'l;i i 0l;
tt
p,_11 I:lZ tr];
>> A'=!,2 I --l;t) 3 4j;
->,\ ;\gi,*i,.l *,,\' * i l.:,",{F t},}'
t
rtr
i'r ::
7 s
0
''U
.-i
t3{/x
Jt*
q,-.ith
/3:
>>fi'=[] 0 1;2 n 4;1 1 3-l;
>> A-*t==E'*A{, inv{F')
Aci.=
1t!.fiOfic) -'"x"*0fi0 -5"0i1*il
110"00fl0 -4"[i{]sO _7.00c,_q
2',7.000r] -6.0{.}00 _9"s0{}0
eiiw'76;
>>Ll*|tr21;.1 trZ;1 11-|;
t".t A..[1 {} 1',2 I 4;1 1 3];
t> [t={.1 23;Z -: j;5 E 4];
>) P-i'6yrtri')1 tri')> 7-'rf-*p\;1+p
1\-h
=-
fi.5556 4"4444
;,^
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/ /:
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5.SEE9 _,4.i 11 1 22.8S8E3
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s
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t
t"
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i
1
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{} 1;1 10];
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b*
lE
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a} J.:.
i
i,:t.
iT!,ri
r l,? iir:,r,;
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I .L':? L
on
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ei
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3 -i
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1
irPf -'11'e{Aet')
iind':
t
.
G.s000
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000
0
0
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r.s0*0
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>>
s"s000
0 1.0CIsrl
ehi s,:u',-nr,'li
0
ms(in:f)
+illsi;:
2
"/t;
'{-;g"ir
>>[.,-,[l
1l;l 01;1 1ilj;
_=> r.o=,[1 i -l;Z 3 3;I Z i]:i:,
>:>
g.
r;t.=fi
r'*
z\
+
inv(i,i")
Act'=
5 -?- -1.
ri. -l -1
3 "1
1
>)- i..:ri=-{ s,r il il\.,:t,' l'' i
.i'
l;:r.,i '--
:i" "t
i
.-,r, {-'li;f;il:S,r*-(kt r. i,t
eiiier-l
'1
:
q,"i{Ai / Y;
z\=.input('i{hap I'aci ilii;i tiiiil ."i: ;1=..');
GTI,N:rrrax(max(A));
,Ji;;;('i'ililr l,; {*n i:rhiil ct-r;.i :r}i'i'ii'a;r A ia:');
dispiGT-Ll'{};
C$ie.e
ffit}:
A=input('hJhap var: ma *'riil fi; /1==r);
G'n'loJN.-min(rniri{A)) ;
elisp('llJrarr tu nho nheit cua rri;i trc-n A tra:');
disp(G'}]Nhi);
fl14".
S,1 .
LtEt{ t!n
5
A:inpr-lt('Nhiip vao
n-la
'f 0ng:s17* (surn(A))
;
tral r\: A=');
cnisi:{''l'ong ciic piran tu .;r-la nie
lL;}.r-i
A
1a;');
cllspiT,:ng);
L
d:!
lll il&
,
A:inprit('slherp vao $1a tran A: fu=');
't.-L--i
a. tLl.t-
i ,"
fbr i:t:siue(A,1)
lir,' i.- 1 " .i r^, n 'r',
"y, J ' ""rZe(Ar2)
r
L,'fftr kiywh m7i bA
19
Li.ti)":, !"i'; ILAP
T'ii:h:'i.
Miip{
ich*A(ii);
end
eircl
distrr('tr'ich cac pi.,iu-l nt cl-til
:\
1a:');
elisp(Tieh);
{l$cs S3:
A:input('Nh;lp t,;iix pii.l iJ';r"r1 ,{: ,'\..')l
'i'inh: I.
'?
f'or i-:X:size(A,i)
fi-ri j=1:size(A,2)
iiA(ij)-:0
Ticir:_'f irh{, A{i,i
};
end
cnrj
cncl
riisp{'T'ich L'ai: i,iri,.tt lri l.iti:,,: {} r'i:n A la:'};
riisp(Tich);
C#ra $4:
l\="ittpi"rt('ld!1;:.p vli: ir{a 1"iajr A: A-'');
i-iEill="1J;
fi:r i:t :size(A. i )
lbr.j:1 :sizr,:iA,l))
il;\(ij;**0
Ilern:JJ*in'1'l
.
*:;.:r1
t
i'll
'I
*tiil
eiisgll'[ic, ph*n
iri l'.ha,; i] ;ir:r
,r\:'1;
itispiD*m);
ilSa
i$;ii:
:\-inprlt('Nhap *,'i'r-{; 1i:i.', tr;1il A: A'-');
1)*nr:0;
{r-,; i,.l:si;:e(A,1)
ii:r
j- i :si.'-*(,\,2)
if A(i,j):0
figin-:[r-:Ji; i l;
i:nE1
eqd
encl
clisp('So f-rhan tu ba*g
s*
iii:l
*
*r.ii.i
A:');
$i.;
vao r"na fi:*-n A: A='.1;
''\'=input('Nhnp
i f siz*(A,, t i-:sir:e(A,2)
clisy:{' ida tran A i<'ir*ng vilol-ig, lih*ng doi xuni;'};
."1':e
'
rvir
r.lisp{'A I;l m* tra:r
ii- A.::6'
,
l'u*ng');
:l
disp('A ctrri :tLury;');
*t1e
n t,!J'i,! v!{.tyiYt ft ".}! i)e
"
t
-".
?{l
