Qhov suav ntawm ob subspaces U, V ntawm W yog cov teeb, denoted U + V, suav nrog tag nrho cov ntsiab lus hauv (1). Nws yog subspace, thiab muaj nyob rau hauv tej subspace uas muaj U ∪ V.
Puas yog ob qhov chaw sib npaug?
Lub subspace spanned los ntawm V thiab lub subspace spanned los ntawm U yog sib npaug, vim lawv qhov ntev yog sib npaug, thiab sib npaug rau qhov dimension ntawm cov sum subspace ib yam nkaus.
Yuav ua li cas koj pom cov lej ntawm ob subspaces?
Tus lej ntawm ob qhov chaw E thiab F, sau E + F, suav nrog tag nrho cov lej u + v, qhov twg koj zwm rau E thiab v yog F. qhov tsawg tshaj plaws ntawm tag nrho cov subspaces uas muaj ob lub subspaces.
Dab tsi ua rau qee yam tsis yog subspace?
Lub ntsiab lus ntawm subspace yog subset S ntawm qee Rn xws li thaum twg koj thiab v yog vectors hauv S, yog li yog αu + βv rau ob qho kev ntsuas (tus lej) α thiab β. … Yog tsis muaj, the set is not a subspace.
Yuav ua li cas koj thiaj paub yog nws lub subspace?
Hauv lwm lo lus, txhawm rau sim yog tias lub teeb yog subspace ntawm Vector Space, koj tsuas yog xav tau txheeb xyuas yog tias nws kaw hauv qhov sib ntxiv thiab ntsuas qhov sib npaug. Yooj yim! ua ex. Kuaj seb puas yog lub dav hlau 2x + 4y + 3z=0 yog subspace ntawm R3.
