Tema 3 - Sistema de Ecuaciones Lineales

 

WMHI ;6[O[WMHI GM MK]IKOJDM[ NODMINM[

GJKMDWM[ 6 ]QOMN QJHMQJ   ODM[ V]ÙOCI

M-hion 6 [email protected] M-hion 6 [email protected]

 

QM[]HMD 

 

Md msti prmsmdtikoûd sm gmskroamd njs mnmhmdtjs qum pmrhotmd kjdstruor mn kjdkmptj gm [O[WMHI GM MK]IKOJDM[ NODMINM[ , piri rmprmsmdtikoûd6 Rmrain, Créboki y

mnnj

usirmhjs

trms

bjrhis



Incmarioki



Piniaris knivm6 [ostmhi, nèdmi rmkti, rmnikoûd nodmin.

gm

 

MUPNJQIDGJ [IAMQM[ PQMROJ[ ºY]Ï 

M[ ]D [O[WMHI:

Ni piniari sostmhi prjkmgm gmn nitèd systěhi, y mstm gmn cromcj ϋὼϋχγξι (systmhi), ogmdtobokigj md mspiùjn kjhj „udoûd gm kjsis gm hidmri jrcidozigi‘.

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]d sostmhi ms ud kjdfudtj gm "mnmhmdtjs" rmnikojdigjs mdtrm sè, gm bjrhi tin qum ud kihaoj md ud mnmhmdtj ibmkti in kjdfudtj gm tjgjs mnnjs

 

 

ºMDWJDKM[ Y]M M[ ]D [O[WMHI GM MK]IKOJDM[: ]d sostmhi gm mkuikojdms nodminms ms ud kjdfudtj gm gjs j hés budkojdms nodminms, incudjs mfmhpnjs gm ni bjrhi bjrhi md md qum sm pumgmd mdkjdtrir mstjs kjdfudtjs sjd6

 

ºKÛHJ NJ[ GMBODOHJ[ MD NMDC]IFM HIWMHIWOKJ: ]d sostmhi gm mkuikojdms nodminms ms ud kjdfudtj gm gjs j hés mkuikojdms gm prohmr crigj, md odkûcdotis. mn kuin sm rmnikojdid gjs j hés Mstis mkuikojdms kjdbjrhid ud prjanmhi hitmhétokj qum kjdsostm md mdkjdtrir njs vinjrms gm nis odkûcdotis qum sitosbikmd gokeis jpmrikojdms.

 

WOPJ[ GM [O[WMHI[

 

HMWJGJ[ GM [JN]KOJD 

Mxostmd govmrsjs hïtjgjs piri rmsjnvmr ud sostmhi gm mkuikojdms, mdtrm mstjs njs his usigjs sjd6

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Mn hïtjgj Crébokj, Mn hïtjgj gm sustotukoûd, Mn hïtjgj gm rmgukkoûd y

  

Ni

Mn hïtjgj gm ocuinikoûd. sjnukoûd

jatmdogi

somhprm

odgmpmdgomdtmhmdtm odgmpmdgomdtm hmdtm gmn hïtjgj mnmcogj.

smré

ni

hoshi,

 

Hïtjgj Crébokj 

Mstm hïtjgj kjdsostm md rmprmsmdtir nis gjs mkuikojdms y kinkunir mn pudtj gm kjrtm gm nis hoshis.

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Mstm pudtj ms ni sjnukoûd gmn sostmhi pjrqum sus kjjrgmdigis kuhpnmd ihais mkuikojdms.

 

Hïtjgj Crébokj MFMHPNJ 96 Qmsjnvmr crébokihmdtm mn socuomdtm sostmhi gm mkuikojdms6

[JN]KOJD6 Nj prohmrj qum eikmhjs ms gmspmfir ni viroianm y md ihais mkuikojdms.  Prohmri mkuikoûd6

 

Hïtjgj Crébokj 

[mcudgi mkuikoûd6

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Iejri vihjs i kinkunir udjs kuidtjs pudtjs gm nis gjs budkojdms piri rmprmsmdtirnis. ]tonozirmhjs x80 y x 81.

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Piri ni prohmri budkoûd tmdmhjs ni tiani 6

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Piri ni smcudgi budkoûd tmdmhjs ni tiani6

 

Hïtjgj Crébokj 

Iejri rmprmsmdtihjs njs pudtjs gm kigi tiani udoïdgjnjs6 Ni sjnukoûd gmn sostmhi ms mn pudtj gjdgm nis crébokis sm kjrtid6

 

Hïtjgj Crébokj MFMHPNJ 16 Qmsjnvmr crébokihmdtm mn socuomdtm sostmhi gm mkuikojdms6

[JN]KOJD6 Kjhj tmdmhjs ni y gmspmfigi md ihais mkuikojdms, gihjs vinjrms i x. ]tonozihjs x89 y x8∑9.  Piri ni prohmri budkoûd tmdmhjs ni tiani6 

Piri ni smcudgi budkoûd tmdmhjs ni tiani6

 

Hïtjgj Crébokj 

Iejri rmprmsmdtihjs njs pudtjs gm kigi tiani udoïdgjnjs6 Ni sjnukoûd gmn sostmhi ms mn pudtj gjdgm nis crébokis sm kjrtid, pmrj nis rmktis gm mstm prjanmhi dj sm kjrtid pjrqum sjd pirinmnis (tomdmd ni hoshi pmdgomdtm h81). Pjr tidtj, mn sostmhi dj tomdm sjnukoûd.

 

Hïtjgj gm [ustotukoûd Kjdsostm md gmspmfir j iosnir udi gm nis odkûcdotis (pjr mfmhpnj, x) y sustotuor su mxprmsoûd md ni jtri mkuikoûd. Gm mstm hjgj, jatmdgrmhjs udi mkuikoûd gm prohmr crigj kjd ni jtri odkûcdoti, y.  ]di vmz rmsumnti, kinkunihjs mn vinjr gm x 

sustotuymdgj mn vinjr gm y qum yi kjdjkmhjs.

 

Hïtjgj gm [ustotukoûd MFMHPNJ 96 Qmsjnvmr pjr sustotukoûd mn socuomdtm sostmhi gm mkuikojdms6

[JN]KOÛD Gmspmfihjs U md ni prohmri mkuikoûd6

 

Hïtjgj gm [ustotukoûd _ ni sustotuohjs md ni smcudgi6

 

Hïtjgj gm [ustotukoûd Kinkunihjs x siaomdgj y816

Pjr tidtj, ni sjnukoûd gmn sostmhi ms6

 

Hïtjgj gm [ustotukoûd MFMHPNJ 16 Qmsjnvmr pjr sustotukoûd mn socuomdtm sostmhi gm mkuikojdms6

[JN]KOÛD Gmspmfihjs _ md ni prohmri mkuikoûd6

 

Hïtjgj gm [ustotukoûd _ ni sustotuohjs md ni smcudgi6

 

Hïtjgj gm [ustotukoûd Kinkunihjs y siaomdgj x87/=6

Pjr tidtj, ni sjnukoûd gmn sostmhi ms6

 

Hïtjgj gm [ustotukoûd MFMHPNJ ;6 Qmsjnvmr pjr sustotukoûd mn socuomdtm sostmhi gm mkuikojdms6

[JN]KOÛD Gmspmfihjs _ md ni smcudgi mkuikoûd6

 

Hïtjgj gm [ustotukoûd [ustotuohjs ni mxprmsoûd jatmdogi md ni prohmri mkuikoûd y ni rmsjnvmhjs6

 

Hïtjgj gm [ustotukoûd Kjhj yi kjdjkmhjs x, kinkunihjs y sustotuymdgj md incudi gm nis n is mkuikojdms idtmrojrms6

Pjr tidtj, ni sjnukoûd gmn sostmhi ms6