2024 Tus sau: Elizabeth Oswald | [email protected]. Kawg hloov kho: 2024-01-13 00:07
length of spanning list Nyob rau finnite-dimensional vector space, qhov ntev ntawm txhua daim ntawv teev npe ntawm vectors tsawg dua lossis sib npaug rau qhov ntev ntawm txhua daim ntawv teev cov vectors. Ib qhov chaw vector yog hu ua finnite-dimensional yog qee npe ntawm vectors hauv nws spans qhov chaw.
Koj ua pov thawj li cas qhov chaw vector yog qhov kawg nkaus yog tias nws muaj?
Rau txhua qhov chaw vector muaj lub hauv paus, thiab txhua lub hauv paus ntawm qhov chaw vector muaj qhov sib npaug; Raws li qhov tshwm sim, qhov loj me ntawm qhov chaw vector yog cim tshwj xeeb. Peb hais tias V yog finite-dimensional yog qhov dimension ntawm V yog finite, thiab infinite-dimensional yog nws qhov dimension yog infinite.
Puas yog qhov chaw seem vector qhov kawg?
Txhua lub hauv paus rau qhov chaw seem vector qhov kawg muaj cov lej tib yam. Tus lej no hu ua qhov loj ntawm qhov chaw. Rau cov khoom sab hauv qhov chaw ntawm qhov ntev n, nws tau yooj yim tsim tau tias txhua txheej ntawm n nonzero orthogonal vectors yog lub hauv paus.
Puas tag nrho cov seem vector qhov chaw muaj lub hauv paus?
Summary: Txhua qhov chaw vector muaj qhov basi, uas yog, qhov siab tshaj plaws linearly independent subset. Txhua vector nyob rau hauv ib qhov chaw vector tuaj yeem sau rau hauv ib txoj kev tshwj xeeb raws li kev sib xyaw ua ke ntawm cov ntsiab lus hauv lub hauv paus no.
Puas yog qhov chaw seem vector qhov chaw muaj qhov tsis paub kawg subspace?
INF0: Txhua qhov chaw vector qhov tsis kawg muaj qhov tsis kawgdimensional tsim nyog sub-space. subspace.
Pom zoo:
Yuav ua li cas ua pov thawj ua ntej ntawm cov pov thawj?
Kev xav ntawm cov pov thawj yog ib hom pov thawj cov qauv siv hauv lub nra ntawm kev tshuaj xyuas pov thawj. Raws li tus txheej txheem preponderance, lub nra ntawm cov pov thawj yog ntsib thaum tog nrog lub nra qhia tus neeg nrhiav qhov tseeb tias muaj ntau dua 50% qhov kev thov yog qhov tseeb.
Vim li cas cov pov thawj yuav tsum ua pov thawj?
Zaj qhov tseeb tsim muaj qhov tseeb ntawm lwm qhov tseeb. Lawv yog cov teeb meem ntawm cov pov thawj uas ua rau muaj ib yam dab tsi tshwm sim ntau dua los yog tsawg dua qhov nws yuav yog yam tsis muaj lawv. Lawv raug lees paub los ua pov thawj thiab pab lub tsev hais plaub hauv kev daws teeb meem zaum kawg ntawm qhov teeb meem tsis sib haum xeeb.
Thaum cov tuam txhab tuav pov hwm yuav kev pov hwm los ntawm cov tuam txhab tuav pov hwm ncaj qha?
Hauv cov ntsiab lus yooj yim, kev tuav pov hwm rov qab yog kev tuav pov hwm rau cov tuam txhab tuav pov hwm muab hauv daim ntawv cog lus ntawm kev them nyiaj tsis yog daim ntawv cog lus lav. Feem ntau, tus neeg tuav pov hwm ncaj qha yuav tsum xub them qhov poob thiab tom qab ntawd nrhiav nyiaj rov qab rau qhov kev poob ntawd los ntawmnws cov nyiaj rov qab.
Tus pov thawj tawm hauv lub pov thawj hwj li cas?
Ib tug pov thawj lub sab hauv "kev pov thawj" yeej hloov tsis tau, tiam sis nws tuaj yeem tawm ntawm txoj haujlwm ntawm kev ua pov thawj thiab raug tso tawm ntawm nws txoj haujlwm. Qhov no tuaj yeem ua tiav ntawm ntau txoj hauv kev, ib qho yog taug kev yooj yim.
Puas yog daim ntawv pov thawj lossis ntawv pov thawj tus kws qhia davhlau?
Daim ntawv pov thawj yog qhov ua tau lees paub. Lawv zoo sib xws tab sis tsis zoo ib yam. Qhov tseeb, hais txog cov kws qhia dav hlau, FAA ditched Certificate / Certified adjective ntev dhau los. Tam sim no tsuas yog "tso cai" tus kws qhia.