Cov txheej txheem:
Video: Koj ua pov thawj li cas matrix yog subspace?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Centralizer ntawm a Matrix yog Subspace Cia V ua tus qhov chaw vector ua n x n matrices , thiab M∈V ib taag matrix . Define W={A∈V∣AM=MA}. Lub teeb W ntawm no yog hu ua centralizer ntawm M hauv V. Ua pov thawj tas W a subspace ntawm V.
Ntawm no, koj ua pov thawj li cas subspace?
Txhawm rau qhia qhov subset yog subspace, koj yuav tsum qhia peb yam:
- Qhia nws raug kaw hauv qab ntxiv.
- Qhia nws yog kaw nyob rau hauv scalar multiplication.
- Qhia tias vector 0 yog nyob rau hauv subset.
Tsis tas li ntawd, lub hauv paus ntawm matrix yog dab tsi? 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.
Kuj paub, puas yog tus lej matrix yog subspace?
Hauv particular, lub tus kheej matrix los ntawm nws tus kheej (1's down the main diagonal, 0's otherwhere) tsis yog a subspace ntawm kev sau ntawm 2 × 2 matrices , rau if tus kheej matrix Kuv nyob hauv subspace , ces cI yuav tsum nyob rau hauv subspace rau txhua tus lej c.
Dab tsi yog qhov subspace ntawm matrix?
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.
Pom zoo:
Koj ua pov thawj li cas cov kab yog sib npaug hauv cov ntawv pov thawj?
Thawj yog yog tias cov ces kaum sib thooj, cov ces kaum uas nyob rau tib lub ces kaum ntawm txhua qhov kev sib tshuam, sib npaug, ces cov kab sib npaug. Qhov thib ob yog yog tias qhov sib txawv sab hauv lub kaum sab xis, cov ces kaum uas nyob rau sab nraud ntawm lub transversal thiab sab hauv cov kab sib npaug, sib npaug, ces cov kab sib npaug
Koj ua pov thawj li cas ib yam dab tsi yog lub hauv paus?
VIDEO 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.
Dab tsi pov thawj siv cov duab ntawm lub dav hlau sib koom ua pov thawj cov khoom geometric?
Cov ntaub ntawv pov thawj uas siv cov duab ntawm lub dav hlau sib koom ua pov thawj geometric zog yog hu ua trigonometric
Koj ua pov thawj li cas ntawm cov ces kaum sab nrauv ntawm daim duab peb sab yog 360?
Lub kaum sab nrauv ntawm daim duab peb sab yog sib npaug rau qhov sib npaug ntawm cov kaum sab hauv sab nraud. Yog xav paub ntxiv txog qhov no saib Daim duab peb sab sab nraud lub kaum sab xis theorem. Yog tias lub kaum sib npaug raug coj los ntawm txhua qhov vertex, cov ces kaum sab nrauv ib txwm ntxiv rau 360 ° Qhov tseeb, qhov no muaj tseeb rau txhua qhov convex polygon, tsis yog daim duab peb sab
Koj ua pov thawj li cas tias ob ntu yog sib haum?
Cov ntu sib txuas yog cov kab kab uas sib npaug ntawm qhov ntev. Congruent txhais tias sib npaug. Cov kab sib txuas feem ntau yog qhia los ntawm kev kos tib tus nqi ntawm cov kab me me nyob rau hauv nruab nrab ntawm cov ntu, nyob rau ntawm ntu. Peb qhia ib kab los ntawm kos ib kab hla nws ob qhov kawg