Cov txheej txheem:
Video: Yuav ua li cas los daws qhov sib npaug linear siv Gaussian tshem tawm?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Yuav Siv Gaussian Elimination li cas los daws cov txheej txheem ntawm kev sib npaug
- Koj tuaj yeem sib npaug txhua kab los ntawm qhov tsis tu ncua (tsis yog xoom). multiplies kab peb los ntawm -2 muab koj ib kab tshiab peb.
- Koj tuaj yeem hloov ob kab. swaps kab ib thiab ob.
- Koj tuaj yeem ntxiv ob kab ua ke. ntxiv kab ib thiab ob thiab sau nws hauv row ob.
Tom qab ntawd, Gaussian tshem tawm ua haujlwm li cas?
Loosely hais lus, Gaussian tshem tawm ua haujlwm los ntawm sab saum toj mus rau hauv, tsim ib tug matrix nyob rau hauv echelon daim ntawv, whereas Gauss -Jordan tshem tawm txuas ntxiv qhov twg Gaussian sab laug los ntawm ces ua hauj lwm los ntawm hauv qab mus rau tsim ib tug matrix nyob rau hauv txo echelon daim ntawv. Cov txheej txheem yuav piav qhia hauv qhov piv txwv hauv qab no.
Tsis tas li ntawd, Cramer txoj cai matrices yog dab tsi? Cramer Txoj Cai rau 2 × 2 System (nrog ob qhov sib txawv) Cramer Txoj Cai yog lwm txoj hauv kev uas tuaj yeem daws cov kab ke ntawm cov kab zauv sib npaug siv cov kev txiav txim. Nyob rau hauv cov nqe lus ntawm notations, a matrix yog ib qho array ntawm cov lej uas tau kaw los ntawm cov square brackets thaum tus txiav txim yog ib qho array ntawm cov lej uas tau muab los ntawm ob txoj kab ntsug.
Qhov thib ob, lub hom phiaj ntawm Gaussian tshem tawm yog dab tsi?
Gaussian tshem tawm . Los ntawm Wikipedia, dawb encyclopedia. Gaussian tshem tawm , tseem hu ua kab txo qis, yog ib qho algorithm nyob rau hauv linear algebra rau kev daws ib qho system ntawm linear equations. Nws yog feem ntau to taub raws li ib theem zuj zus ntawm kev ua hauj lwm ua nyob rau hauv sib xws matrix ntawm coefficients.
Dab tsi yog qhov txawv ntawm Gaussian thiab Gauss Jordan tshem tawm?
3 Teb. Gaussian Elimination pab muab ib tug matrix nyob rau hauv kab echelon daim ntawv, thaum Gauss - Jordan Elimination muab ib tug matrix nyob rau hauv txo kab echelon daim ntawv. Rau cov tshuab me me (lossis ntawm tes), feem ntau nws yooj yim dua los siv Gauss - Jordan tshem tawm thiab qhia meej meej rau txhua qhov sib txawv uas sawv cev hauv matrix system.
Pom zoo:
Koj yuav daws qhov kev sib npaug plaub npaug li cas siv txoj cai null factor?
Los ntawm qhov no peb tuaj yeem suav tias: Yog tias qhov khoom ntawm ob tus lej yog xoom, ces ib lossis ob tus lej yog xoom. Ntawd yog, yog tias ab = 0, ces a = 0 lossis b = 0 (uas suav nrog qhov ua tau tias a = b = 0). Qhov no hu ua Null Factor Law; thiab peb siv nws ntau zaus los daws qhov sib npaug ntawm plaub fab
Yuav daws qhov tsis sib npaug ntawm cov kab sib npaug thiab cov kab sib npaug sib npaug li cas?
Kev daws qhov tsis sib npaug ntawm qhov sib npaug yog zoo ib yam li kev daws cov kab sib npaug. Qhov sib txawv tseem ceeb yog koj tig lub cim tsis sib xws thaum faib lossis muab faib los ntawm tus lej tsis zoo. Graphing linear inequalities muaj ob peb qhov sib txawv ntxiv. Qhov uas yog qhov ntxoov ntxoo muaj xws li qhov tseem ceeb uas qhov kev tsis sib xws ntawm cov kab tawm muaj tseeb
Koj yuav daws tau qhov system ntawm peb qhov sib npaug li cas los ntawm kev tshem tawm?
Xaiv ib qho sib txawv ntawm ob qhov sib npaug, hais qhov sib npaug (2) thiab (3), thiab tshem tawm qhov sib txawv. Kev daws qhov system tsim los ntawm kev sib npaug (4) thiab (5). Tam sim no, hloov z = 3 rau hauv kab zauv (4) kom pom y. Siv cov lus teb los ntawm Kauj Ruam 4 thiab hloov mus rau hauv ib qho kev sib npaug uas muaj qhov sib txawv ntxiv
Koj yuav daws qhov sib npaug li cas los ntawm kev cais qhov sib txawv?
Cov txheej txheem yooj yim los cais qhov sib txawv yog "ua ib yam dab tsi rau ob tog" ntawm qhov sib npaug, xws li ntxiv, rho tawm, sib npaug, lossis faib ob sab ntawm qhov sib npaug los ntawm tib tus lej. Los ntawm kev rov ua cov txheej txheem no, peb tuaj yeem tau txais qhov sib txawv ntawm ib sab ntawm qhov sib npaug
Dab tsi yog qhov sib txawv ntawm cov kab lus sib npaug thiab qhov sib npaug sib npaug?
Cov kab lus sib npaug muaj qhov muaj txiaj ntsig zoo ib yam tab sis tau nthuav tawm nyob rau hauv ib hom ntawv sib txawv uas siv cov khoom ntawm cov lej xws li ax + bx = (a + b) x yog cov kab lus sib npaug. nruj me ntsis, lawv tsis yog 'sib npaug', yog li peb yuav tsum siv 3 kab sib luag hauv 'sib npaug' es tsis yog 2 raws li qhia ntawm no