VETCTV £ g ; 37
Alqekw-tc mit Itipli'cit^ 0f ah ei^eywalue. \Q is ihe Ynultipiiabq <z> f 0<o <2& 4 wob of Chan-chen'cti'c Yol^noinL4Z>
Otejts CA- % E) -     %)    Cl) ,    K^) * O.
i% Jim Äer(cf-Xtbt),
ee.) .
\ oo-z )     Olli CA-ie) = (2->)3
humide 2.   hos mKlH^li'ai^ =
ba£ = Y.     The qeo^i. mulbCf>liC4%tt^ Cs f
Sif>ectw*\    0-f a live&lr o^>embo\r   is th^ Qet ^// er^^/^s,.    Hre ^ alqebntt'c.
frultiplitibt&o.    ^      £,ri^diw       the cfxic^j
^       cp^ce , (f  w& aire ov&r <Ff c/^ce-even^   fo\^wvh(a.t fif- the Ueqree n
eg^em      The ^C^ev) vector    c or re &f>o noting bo   different  eigenvalues*   aire   Im&zrty Me-
Theorem     Leb aim M~ » Cf ' CS-*C/ /s
a linear eyeYakoir , whiok   has   <ru oU:tf*re»(r eigenvalues.    The*   the coir respc»aii»% <>Cqev\ \/ecbars   form    a   basis cx   in 14 4h<?L,
\
0
o
^íieire        'A^ .. a V*<s ér/? e etilen values,.
1lir.i^.    Accc\rdlU$  to the JfXr&VioUsi Czechs
£c^to a k^sfs (?f   ty.     M   Mis   basis ^
0 0
V D
C-th <£.leuient
y : IF*—? lg*      čfC*) = c*
(D
Eigenvalue. £ťq<?h \recbc\r
1< ~  1 />-, <* (ji 1t 2) r
We  loot ei^<?n ^/a<?&
C cm pa n 'Htj   the   C&g^Ca&Hhc        tho e^me.
0 - ^
W&t'ch qiWes   eľtfreh   4^ - 4<        ~# *
S )
s._^
(V)£/£   - [°   0   O \      for íbe ba*c*
O   1   q) £~(**ih<)
o 1 ~>y
hoME,   the saw\& cMwickeiŕCsfrc- pclqhom* /
vt/l'-kh    tb& šatne zlq&bwo /U'plľa Hor9&\se\rl t he Cr e.Cqentelue's   ha (s e,   áhx? Qatn<~.
If      ttM...     aire,   eiqevivecbors. £ov> 3 C<o+re$>!povidt\A,^ bo   the* eCqeuvilue   > ( then 7^7/ T^,.- Tut  <%lre <2íqehsectors   fier A .
(PRTttO&CkŔL    Ah/b    ttVlTARY OP&ČATVRS
Oefirn'tio^    [\   (s> a \tecbc\r space,   with a £c#k\r \x/{íh  tlie jpropeirfc^
^ú\r all H^tcr y
I £ U fs O. r<zal vecbev Space t t h eh (f is collect lf  U IS 4-   couple *  tecbe*  S>p4c& ,   th<sh cf ľs
CO //eo(   UhCiA^   &pč?i/t2 6c r .
£uch  ope m tars.     preserves    ehe- HCtmz o-f-
(z)  Šuch Cpeteícrs  Cf - I4-9I4 ^ čwnterphisms.
^   Sací)   c^ew éí>«-i Orbke ne h mal bases
into     f'f hhoM>rm<tl    í"*■
(črůhcfwič opewitoir) .    Then  íés tyabirľ*
A ľ h   4hq   oŕtkc Hornau   Wi&is>   <X ea&zftes
^/>ere    A   ľs  ŕhe ntaérix    forced  f-tcm 4 bt^   couplet   cov]u q<ltion .
(    A~1~ AT <~>  ém  AAr- & í?) .
Si4ch  matrices*   are, CalleM míhtrc^ or orthogen* &.
A -
i*.-c
A -
the on q ľ n   C ft  the plahe,    by the ai*qle. ^
avo(AV\ot   <3h through the &n<%ťr\
(£)   if \       ~>^3 Yefle^uon    m'th   \r e speck
t°   &   Jľy>g or  a. plahe qoľn^ through trh e   o^Cqtft .
®
±
3
3
3
cfC%)^ Ay
is   ± i
A Ar~ £
A <*UA r~ '1 (fbc A) ^    ~1 c^>^tA^±±
pefceWna.uk   of #ě u^ihor^  fri&t(ŕť% ľs et CPi*pie*   Hum ber   Wi'trh absolute. iW#e 1
OtttA o<UA r ä i A\^ - i