Gauss-Jordan Elimination yog ib qho algorithm uas yuav siv tau rau daws cov kab ke ntawm kab sib npaug thiab kom pom qhov hloov pauv ntawm txhua qhov invertible matrix invertible matrix A yog invertible, uas yog, Ib tug muaj ib tug inverse, yog nonsingular, los yog nondegenerate. A yog kab-sib npaug rau n-by-n tus lej matrix I . A yog kem-sib npaug rau n-by-n tus kheej matrix I . … Feem ntau, lub square matrix tshaj ib lub nplhaib sib hloov yog invertible yog thiab tsuas yog hais tias nws determinant yog ib chav nyob rau hauv lub nplhaib. https://en.wikipedia.org › wiki › Invertible_matrix
Invertible matrix - Wikipedia
. Nws tso siab rau peb qhov kev ua haujlwm theem pib ib qho tuaj yeem siv rau ntawm matrix: Hloov cov haujlwm ntawm ob ntawm kab.
Tus qauv Gauss yog dab tsi?
Gauss ntxiv cov kab ua khub - txhua khub ntxiv rau n + 1 thiab muaj n khub, yog li cov lej ntawm cov kab kuj yog n / sijhawm (n + 1). Nws ua raws li 2\times (1+2+\ldots +n)=n\times (n+1), los ntawm qhov uas peb tau txais cov qauv. Gauss 'formula yog qhov tshwm sim ntawm kev suav ntau hauv txoj kev ntse.
Cov kauj ruam ntawm Gauss tshem tawm txoj kev yog dab tsi?
Txoj kev mus raws cov kauj ruam hauv qab no
- Kev sib pauv thiab sib npaug (lossis).
- Faib qhov sib npaug los ntawm (lossis).
- Ntxiv sij hawm sib npaug rau qhov sib npaug (lossis).
- Ntxiv sij hawm sib npaug rau qhov sib npaug (lossis).
- Multiply the equation by (or).
Kev tshem tawm Gauss yog dab tsimethod piav?
Kev tshem tawm Gauss, nyob rau hauv kab thiab multilinear algebra, txheej txheem los nrhiav cov kev daws teeb meem ntawm ib qho kev sib npaug ntawm cov kab sib npaug los ntawm thawj zaug daws ib qho kev sib npaug rau ib qho sib txawv (nyob rau hauv cov nqe lus ntawm tag nrho lwm tus) thiab tom qab ntawd hloov qhov kev qhia no rau hauv qhov sib npaug ntxiv.
Vim li cas Gauss tshem tawm txoj kev siv?
Gauss tshem tawm txoj kev yog siv los daws qhov system ntawm kab sib npaug. Cia peb nco qab lub ntsiab lus ntawm cov kab ke ntawm kev sib npaug. … Raws li peb paub, yam tsis paub muaj nyob hauv ntau qhov sib npaug. Kev daws qhov system cuam tshuam nrog kev nrhiav tus nqi rau qhov tsis paub txog los txheeb xyuas txhua qhov sib npaug uas ua rau lub kaw lus.
