1- mavzu: Matrisalar. Matrisalar ustida amallar. Ikkinchi, uchinchi tartibli determinantlar va ularning xossalari. Laplas teoremasi. Dars rejasi


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1-ma’ruza

Teskari matritsani topish.
Dastlab, matritsa teskari matritsanitopamiz. shartga ko’ra, Demak,

Busistemalarniechib, , y= , z= , u= , ekanliginitopamiz.
Bunda, lar esa algebraik to’ldiruvchilari.
matritsaga teskari matritsa ko’rinishidabo’larekan.
Har qanday hosmas kvadrat matritsani teskarisi mavjud, yagona va
bunda
Isbot.
ni ham E gatengliginitekshirishimizmumkin.4
Agar farqli S ham teskari bo’lsa, yani AS S S
Bu tengliklardan kelib chiqadi.
bo’lsa, mavjudbo’lmasligiravshan.
dan kelibchiqadi.
Misol. 1). A gateskarimatrissa toping.
ekanligidan teskari matritsa mavjud va yagona.
, bo’lganligiuchun

2). ga teskar imatritsa toping.

, , ,
, , ,
, , ,
, , ,
Demak , .3


1 S.M.Blinder, Guide to Essential Math. Academic Press, London ,2008.164- 167 bet.

2 S.M.Blinder, Guide to Essential Math. Academic Press, London ,2008.164- 167 bet.

33 Gerd Baumann, Mathematics for Engineers.II. Oldenburg Wissenschaftsverlag GmbH,Munchen, 2010.252-256 bet.

3 S.M.Blinder, Guide to Essential Math. Academic Press, London ,2008.164- 167 bet.

4 S.M.Blinder, Guide to Essential Math. Academic Press, London ,2008.164- 167 bet.

33 Gerd Baumann, Mathematics for Engineers.II. Oldenburg Wissenschaftsverlag GmbH,Munchen, 2010.236-247 bet.

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