Koj ua pov thawj li cas ib yam dab tsi yog lub hauv paus?

Video: Koj ua pov thawj li cas ib yam dab tsi yog lub hauv paus?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

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Kuj nug, dab tsi ua rau lub hauv paus?

Hauv kev ua lej, teeb B ntawm cov ntsiab lus (vectors) hauv vector space V hu ua a hauv paus , yog tias txhua lub ntsiab lus ntawm V tuaj yeem sau rau hauv ib txoj kev tshwj xeeb raws li ib qho (finite) linear ua ke ntawm cov ntsiab lus ntawm B. Cov ntsiab lus ntawm a hauv paus hu ua hauv paus cov duab.

Ib yam li ntawd, ob lub vectors puas tuaj yeem ua lub hauv paus rau r3? ua tsis form a hauv paus rau R3 vim cov no yog kem cov duab ntawm ib tug matrix uas muaj ob zoo ib yam kab. Peb cov duab tsis yog linearly ywj siab. Feem ntau, n cov duab hauv Rn form a hauv paus yog lawv kem cov duab ntawm ib tug invertible matrix.

Ua li no, dab tsi yog lub hauv paus ntawm matrix?

Thaum peb nrhiav lub hauv paus ntawm lub kernel ntawm a matrix , peb tshem tag nrho cov redundant kem vectors los ntawm kernel, thiab khaws cov linearly ywj siab kab vectors. Yog li ntawd, a hauv paus tsuas yog ua ke ntawm tag nrho cov linearly ywj siab vectors.

Puas muaj ob vectors span r3?

Ob tug vectors ua tsis tau siv R3 . (b) (1, 1, 0), (0, 1, − 2 ), thiab (1, 3, 1). Yog lawm. Peb cov duab yog linearly ywj siab, yog li lawv siv R3.

Pom zoo:

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