Lash 6ttyie.   we derived  two   rules f&r eov*f>nhi-bt'OVl   of    Jordan   &ahontd4,l fetyns* (VCT)
T?nle 1    Oh the 0tia<jf0naC   e-f xfCF there are, p/'#<?h-values.   of eur ofx?rtik<D\r cf> (mtttriy. A) <z</ert^
iHJel     Tk  mtHiW of Jor*«h ^   m& ^er^.
of 1<. r <r
TWe   6wo mk*   4re ^fficM   ^ eenpat*-t-t'€>h£   m   atfhtenst'ons    2 4*43    b«i not
If   we  hare ah efy&nw/iie,  ^ ^mlti'plt^'ty ^
and qeemekirCc    touth'flicii:^ 2. t  the* c&rr&sjoovi-
XJordah   cells     cah fce. either 0fr
hi0
0 I
11 ^
oyi \ 0
00 >
---'—v-
s—"--v-----' There i\s 4 chain of
There i^i Ho ehafn .    „   3 fcrre
3,-
0 1	\
	
	
	oo /
Don
OoO
0
Of  we. hAve   a. rnaéri}  A o-f t*«r h •+if
au eiqe*v<iliic  ^ e>f. al$. ivutbíphcihh h
ľ f  Ü   s HHľ/air  to 7r    <£>ť 72 2
*0
(D
and §eOM • Mulk- Z f eh rectors       y = (i(of%ŕo)rí   \, * /rQ0,1r2*F
We Panb   bo a ehath of tehqéh  2 or 3
first fredjre looking for ^ieR Qu&k bteir the efuikí'on
(A* E) /v- = gm bv Us a  soluble* .   tp<5   ^// ŕAe
Hčhce  &f a cJvtt* of Jehý&h *2 &ih steré-With   érh& etqevivecbor  (4   4.&t 4.\so wbh ^e I ť near   Cndepetoôtenb   Vector K
5 o  titele  a (r e   £u^o    //W*^   / ntfep&HeteHir ďfratMs   c f    lehyéh    ói*t> .    7A*£ / c
o -1
\
v
o
-11
o -i
tfre Oct h   Cewipt* <£e    the chains Wh\cM   corsairs of   hoU chaľhs
OrX* - 7 -
where.        j> »
O o 0 O 3 -2 s-
IfcVúf ^^„t efficient 4(blCl* we qek ak'freut  (»ces Mtf^etenk
A -
&l$- foulk. H and <fieoi*t.
To*  toktek 4l b ár ^
(A - £~) /Ur - 4<41 bis
4 šolabľeh 2%
nd&    eher £o&{;<stn of-
3
3
2 4
-"b -*i -2 3      € é
• S
-3
/ 3   £ 2 Ö    2 -2
0-10
\
O  O D
"5 /-2i, \
The system has a. So/uhbn if «.h* <tW* if g^éb^Q Choose   Ä»-Í(i.f,    - - ŕ-2,-é, 3,-é-)r
A   Soluéŕom a f  &ke   zqzt&i+t    (A-z) \fr ~ am br
*
This mil be tfee second vector of A ahta'to °ř í&ft Ahe length 3 . We dt»e lookľuy f€><r 0lu b} e-R   such   tkvb  ike system
(A-Z) ž     ~{\\-%Oto\    Y tf, if •* I», V hť»S   4. Solution . ^ '
f 3   Z 2-2
V
6    S   * -í
-T> "4 -2 4
6   6    é -6
/ 0
\
3 2-3 2   -2 /o
0-101 0   O  Ü O
3 t*
The   system    has   a solktron ľ f       ' o»/y
-1 t 4t + £bf =- 0.
	0	
	1	0
		
0 \		-7
\
®
A dfete*b  colubľovi   urhťch  is yo^ihle £>kl§ fcite  cases.    U/keh  ail iheetqetei/ues
ôht?oc&   a   vector a ma computer
Hz - .    Q£   H-i+C? compute
lAn  ~CA-E)nz.      if    *i*0( then
Hit form  a  cktih  a f  length 3.
we \cive.
* , 4y * if - [ 4
0
1
)
1 1 Ol	
o * !	
	
\ 0	
\^ome\X/o\rk.  AI A     Tah*   a forrfah canonical £etml the main y
avtfl ď tnaáfíY p sua h that
3 = T"1 F V.
S -3   -? -f
O 0
o o
H -8 Z -9
(D
Home work. 41 B     Tin* 4. 3CF  J   o$ the.
N =
euch hha.h
[UíYib : eigenvalue   4   of a/q. toulíľplťaíq £J
T-f/V P.
Ď -
r	-í		h
			
	-n	11	e
	- 2	1	3
and 4 mčihtn'^ V Such ůk&é
0^ T'1 D P.
( «rufe
eigenvalue   2 of alf. toulbiplľaéi] 2?