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This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Debian) (preloaded format=pdflatex 2019.2.6)  27 NOV 2019 13:02
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**01LAB1_30aa57da.tex
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   defining Unicode char U+00E0 (decimal 224)
   defining Unicode char U+00E1 (decimal 225)
   defining Unicode char U+00E2 (decimal 226)
   defining Unicode char U+00E3 (decimal 227)
   defining Unicode char U+00E4 (decimal 228)
   defining Unicode char U+00E5 (decimal 229)
   defining Unicode char U+00E6 (decimal 230)
   defining Unicode char U+00E7 (decimal 231)
   defining Unicode char U+00E8 (decimal 232)
   defining Unicode char U+00E9 (decimal 233)
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   defining Unicode char U+00EC (decimal 236)
   defining Unicode char U+00ED (decimal 237)
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   defining Unicode char U+00F0 (decimal 240)
   defining Unicode char U+00F1 (decimal 241)
   defining Unicode char U+00F2 (decimal 242)
   defining Unicode char U+00F3 (decimal 243)
   defining Unicode char U+00F4 (decimal 244)
   defining Unicode char U+00F5 (decimal 245)
   defining Unicode char U+00F6 (decimal 246)
   defining Unicode char U+00F8 (decimal 248)
   defining Unicode char U+00F9 (decimal 249)
   defining Unicode char U+00FA (decimal 250)
   defining Unicode char U+00FB (decimal 251)
   defining Unicode char U+00FC (decimal 252)
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   defining Unicode char U+00FE (decimal 254)
   defining Unicode char U+00FF (decimal 255)
   defining Unicode char U+0100 (decimal 256)
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   defining Unicode char U+0105 (decimal 261)
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   defining Unicode char U+011B (decimal 283)
   defining Unicode char U+011C (decimal 284)
   defining Unicode char U+011D (decimal 285)
   defining Unicode char U+011E (decimal 286)
   defining Unicode char U+011F (decimal 287)
   defining Unicode char U+0120 (decimal 288)
   defining Unicode char U+0121 (decimal 289)
   defining Unicode char U+0122 (decimal 290)
   defining Unicode char U+0123 (decimal 291)
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   defining Unicode char U+0125 (decimal 293)
   defining Unicode char U+0128 (decimal 296)
   defining Unicode char U+0129 (decimal 297)
   defining Unicode char U+012A (decimal 298)
   defining Unicode char U+012B (decimal 299)
   defining Unicode char U+012C (decimal 300)
   defining Unicode char U+012D (decimal 301)
   defining Unicode char U+012E (decimal 302)
   defining Unicode char U+012F (decimal 303)
   defining Unicode char U+0130 (decimal 304)
   defining Unicode char U+0131 (decimal 305)
   defining Unicode char U+0132 (decimal 306)
   defining Unicode char U+0133 (decimal 307)
   defining Unicode char U+0134 (decimal 308)
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   defining Unicode char U+0139 (decimal 313)
   defining Unicode char U+013A (decimal 314)
   defining Unicode char U+013B (decimal 315)
   defining Unicode char U+013C (decimal 316)
   defining Unicode char U+013D (decimal 317)
   defining Unicode char U+013E (decimal 318)
   defining Unicode char U+0141 (decimal 321)
   defining Unicode char U+0142 (decimal 322)
   defining Unicode char U+0143 (decimal 323)
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   defining Unicode char U+0146 (decimal 326)
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   defining Unicode char U+014B (decimal 331)
   defining Unicode char U+014C (decimal 332)
   defining Unicode char U+014D (decimal 333)
   defining Unicode char U+014E (decimal 334)
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   defining Unicode char U+0152 (decimal 338)
   defining Unicode char U+0153 (decimal 339)
   defining Unicode char U+0154 (decimal 340)
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   defining Unicode char U+0158 (decimal 344)
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   defining Unicode char U+015A (decimal 346)
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   defining Unicode char U+015C (decimal 348)
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   defining Unicode char U+016D (decimal 365)
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   defining Unicode char U+0218 (decimal 536)
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   defining Unicode char U+201A (decimal 8218)
   defining Unicode char U+201C (decimal 8220)
   defining Unicode char U+201D (decimal 8221)
   defining Unicode char U+201E (decimal 8222)
   defining Unicode char U+2030 (decimal 8240)
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   defining Unicode char U+2039 (decimal 8249)
   defining Unicode char U+203A (decimal 8250)
   defining Unicode char U+2423 (decimal 9251)
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)
Now handling font encoding OT1 ...
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   defining Unicode char U+00A0 (decimal 160)
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   defining Unicode char U+0176 (decimal 374)
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   defining Unicode char U+0218 (decimal 536)
   defining Unicode char U+0219 (decimal 537)
   defining Unicode char U+021A (decimal 538)
   defining Unicode char U+021B (decimal 539)
   defining Unicode char U+2013 (decimal 8211)
   defining Unicode char U+2014 (decimal 8212)
   defining Unicode char U+2018 (decimal 8216)
   defining Unicode char U+2019 (decimal 8217)
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)
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)
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)) (/usr/share/texlive/texmf-dist/tex/generic/babel/babel.sty
Package: babel 2016/04/23 3.9r The Babel package
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! LaTeX Error: Command \uv already defined.
               Or name \end... illegal, see p.192 of the manual.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
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[]\OT1/cmr/m/n/10.95 A) Ne-cht[] $\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 2$\
OT1/cmr/bx/n/10.95 N\OT1/cmr/m/n/10.95 . Vek-to-rov^^Sy pro-stor \OT1/cmr/bx/n/
10.95 T$[]$ \OT1/cmr/m/n/10.95 nad t^^Telesem \OT1/cmr/bx/n/10.95 T \OT1/cmr/m/
n/10.95 je pro-stor, kde vek-tory jsou \OT1/cmr/bx/n/10.95 uspo^^Tr^^Sadan^^Se
 []


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\OT1/cmr/m/n/10.95 2) Snadno si roz-mysl^^S^^Pme, ^^Tze po-kud to bu-deme pot^^
Trebovat, lze p^^Tri ob-vykl^^Sych ope-rac^^S^^Pch ztoto^^Tznit
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Overfull \hbox (2.89024pt too wide) in paragraph at lines 767--787
[]\OT1/cmr/m/n/10.95 Zb^^Syv^^Sa uk^^Sazat, ^^Tze lze ka^^Tzdou sou-stavu ekvi-
va-lentn^^S^^Pmi ^^Supravami p^^Trev^^Sest na sou-stavu s roz^^Ts^^S^^P^^Trenou

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[11]
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\OT1/cmr/m/n/10.95 (uspo^^Tr^^Sadan^^Sa $\OML/cmm/m/it/10.95 n$\OT1/cmr/m/n/10.
95 -tice) vek-tor^^Wu z \OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10.95 . []R^^S^^Pk^^S
ame, ^^Tze vek-tor $[]$ je line^^Sarn^^S^^P kom-bi-nac^^S^^P sou-boru ($[]\OML/
cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$,
 []

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\OT1/cmr/m/n/10.95 vek-tor^^Wu, sou-bor $([]\OML/cmm/m/it/10.95 ; []; [] ; []\O
T1/cmr/m/n/10.95 )$ se naz^^Syv^^Sa \OT1/cmr/bx/n/10.95 ge-ne-ruj^^S^^Pc^^S^^P 
sou-bor \OT1/cmr/m/n/10.95 a vek-tory $[]\OML/cmm/m/it/10.95 ; []; [] ; []$
 []

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\OT1/cmr/m/n/10.95 Necht[] $([]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10
.95 )$ je b^^Saze \OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10.95 , tj. \OT1/cmr/bx/n/1
0.95 V$\OT1/cmr/m/n/10.95 = [[]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10
.95 ][]$ a sou-bor $([]\OML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$
 []

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\OT1/cmr/bx/n/10.95 V\OT1/cmr/m/n/10.95 =$[[]\OML/cmm/m/it/10.95 ; []; [] ; []\
OT1/cmr/m/n/10.95 ][] = [[]\OML/cmm/m/it/10.95 ; []; [] ; []; \OT1/cmr/m/n/10.9
5 ([]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 i \OMS/cmsy/m/n/10.95 2 [] n f\OM
L/cmm/m/it/10.95 i[]; i[]; [] ; i[]\OMS/cmsy/m/n/10.95 g\OT1/cmr/m/n/10.95 )][]
$. Sou-bor $([]\OML/cmm/m/it/10.95 ; []; [] ; []; \OT1/cmr/m/n/10.95 ([]\OMS/cm
sy/m/n/10.95 j\OML/cmm/m/it/10.95 i \OMS/cmsy/m/n/10.95 2
 []


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\OT1/cmr/m/n/10.95 Snadno si roz-mysl^^S^^Pme, ^^Tze sou-bor $([]\OML/cmm/m/it/
10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$ je LN a ^^Tze pro ka^^Tzd^^Sy vek-tor 
$[] = [] \OMS/cmsy/m/n/10.95 2$\OT1/cmr/bx/n/10.95 T$[]$
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\OT1/cmr/m/n/10.95 Necht[] dim\OT1/cmr/bx/n/10.95 P\OT1/cmr/m/n/10.95 =$\OML/cm
m/m/it/10.95 k \OMS/cmsy/m/n/10.95 6\OT1/cmr/m/n/10.95 = 0$ $[][]\OMS/cmsy/m/n/
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\OT1/cmr/m/n/10.95 Soubor $\OMS/cmsy/m/n/10.95 X$\OT1/cmr/m/n/10.95 = $([]\OML/
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\OT1/cmr/bx/n/10.95 Q[] \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 A\OT1/cmr/m/n/
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\OT1/cmr/m/n/10.95 Dok^^Sa^^Tzeme, ^^Tze pod-pro-stor \OT1/cmr/bx/n/10.95 Q\OT1
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\OT1/cmr/m/n/10.95 3) Kdy^^Tz je \OT1/cmr/bx/n/10.95 A \OT1/cmr/m/n/10.95 typu 
$\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 ^^B \OML/cmm/m/it/10.95 m$\OT1/cmr/m
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n/10.95 ). 
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\OT1/cmr/m/n/10.95 Ozna^^Tcme $\OMS/cmsy/m/n/10.95 X \OT1/cmr/m/n/10.95 = ([]\O
ML/cmm/m/it/10.95 ; []; [] ; []\OT1/cmr/m/n/10.95 )$. Z de-fi-nice ma-tice zob-
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\OT1/cmr/m/n/10.95 V po-sledn^^S^^Pch dvou rov-nos-tech jsme u^^Tzili jed-nak t
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