Puas yog p2 subspace ntawm p3?
Puas yog p2 subspace ntawm p3?

Video: Puas yog p2 subspace ntawm p3?

Video: Puas yog p2 subspace ntawm p3?
Video: Puas yog peb txiv XaivHawj Xyooj tso koob Hmoov rau peb tiagg nev? P2 2024, Kaum ib hlis
Anonim

Yog lawm! Txij li txhua txhua polynomial ntawm degree mus txog 2 kuj yog polynomial ntawm degree mus txog 3, P2 yog subset ntawm P3 . Thiab peb twb paub lawm P2 yog vector space, ces nws yog a subspace ntawm P3 . Uas yog hais, R2 tsis yog ib tug subset ntawm R3.

Cov neeg kuj nug, yog cov txheej ntawm tag nrho cov polynomials ntawm degree 3 subspace ntawm p3?

1. P3 (F) yog tus qhov chaw vector ntawm tag nrho polynomials ntawm degree ≦ 3 thiab nrog coefficients hauv F. Qhov loj me yog 2 vim 1 thiab x yog linearly ywj siab polynomials uas span subspace , thiab yog li lawv yog lub hauv paus rau qhov no subspace . (b) Cia koj ua tus subset P3 (F) suav nrog tag nrho cov polynomials ntawm degree 3.

Dab tsi yog qhov subspace ntawm r3? Hais lus nruj me ntsis, A Subspace yog Vector Space nrog rau lwm qhov loj dua Vector Space. Yog li ntawd, tag nrho cov khoom ntawm Vector Space, xws li raug kaw nyob rau hauv ntxiv thiab scalar multiplication tseem muaj tseeb thaum siv rau lub Subspace . ex. Peb txhua tus paub R3 yog Vector Space.

Tib neeg kuj nug, dab tsi yog p2 hauv linear algebra?

Cia P2 ua qhov chaw ntawm polynomials ntawm degree ntau tshaj 2, thiab txhais cov kab tawm Kev hloov pauv T: P2 → R2 T(p(x)) = [p(0) p(1)] Piv txwv li T(x2 + 1) = [1 2].

Zero polynomial yog dab tsi?

Zero Polynomial . Qhov tsis tu ncua polynomial . nws cov coefficients tag nrho yog sib npaug rau 0. Qhov sib thooj polynomial muaj nuj nqi yog qhov ua haujlwm tas li nrog tus nqi 0, tseem hu ua xoom daim ntawv qhia. Cov xoom polynomial yog tus additive tus kheej ntawm cov additive pab pawg neeg ntawm polynomials.

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