Video: Koj nrhiav tau lub subspace li cas?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
VIDEO
Tsis tas li ntawd, puas yog lub hauv paus ntawm subspace?
Peb yav tas los txhais a hauv paus rau a subspace raws li qhov tsawg kawg nkaus ntawm vectors uas spans subspace . Qhov ntawd yog, ib lub hauv paus rau k-dimensional subspace yog ib txheej ntawm k vectors uas span lub subspace . Tam sim no peb paub txog kev ywj pheej ntawm kev ywj pheej, peb tuaj yeem muab cov ntsiab lus txawv me ntsis ntawm a hauv paus.
Tsis tas li ntawd, qhov no puas yog subspace? Hauv lwm lo lus, txhawm rau sim yog tias lub teeb yog a subspace ntawm Vector Space, koj tsuas yog yuav tsum tau xyuas yog tias nws kaw nyob rau hauv qhov sib ntxiv thiab scalar multiplication. Yooj yim! ex. Kuaj seb puas yog lub dav hlau 2x + 4y + 3z = 0 yog a subspace ntawm R3.
Yog li ntawd, dab tsi ua rau ib qho subspace?
A subspace yog qhov chaw vector uas muaj nyob hauv lwm qhov chaw vector. Yog li txhua subspace yog qhov chaw vector nyob rau hauv nws tus kheej txoj cai, tab sis nws kuj txhais tau tias txheeb ze rau lwm qhov (loj) vector space.
Vim li cas r2 tsis yog subspace ntawm r3?
Yog tias U yog qhov chaw vector, siv tib lub ntsiab lus ntawm qhov sib ntxiv thiab qhov sib npaug li V, ces U yog hu ua subspace ntawm V. Txawm li cas los xij, R2 yog tsis yog subspace ntawm R3 , txij li cov ntsiab lus ntawm R2 muaj raws nraim ob nkag, thaum lub ntsiab ntawm R3 muaj raws nraim peb qhov nkag. Hais tias yog, R2 yog tsis yog ib subset R3.
Pom zoo:
Yuav ua li cas koj nrhiav tau lub subSet ntawm ib lub teeb?
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