Hauv kev ua lej siab dua, xws li lub tswv yim xws li kev hloov pauv matrix tau kawm. Nws yuav tsum raug sau tseg tias ntau tus neeg xav tias qhov no yog ib qho kev kawm nyuaj uas tsis tuaj yeem paub. Txawm li cas los xij, tsis yog. Yuav kom nkag siab raws nraim li cas xws li ib tug yooj yim ua hauj lwm yog nqa tawm, nws tsuas yog tsim nyog los paub koj tus kheej me ntsis nrog lub tswv yim yooj yim - lub matrix. Lub ntsiab lus tuaj yeem nkag siab los ntawm ib tus menyuam kawm ntawv yog tias nws siv sijhawm los kawm nws.
Matrix yog dab tsi?
Matrices muaj ntau hauv lej. Nws yuav tsum raug sau tseg tias lawv kuj tshwm sim hauv computer science. Ua tsaug rau lawv thiab nrog lawv pab, nws yooj yim rau kev pab cuam thiab tsim software.
Matrix yog dab tsi? Qhov no yog lub rooj nyob rau hauv uas lub ntsiab yog muab tso rau. Nws yuav tsum yog daim duab plaub. Hauv cov ntsiab lus yooj yim, matrix yog lub rooj ntawm cov lej. Nws yog denoted los ntawm txhua tus tsiaj ntawv Latin. Nws tuaj yeem yog square lossis square. Muajkuj cais kab thiab kab, uas yog hu ua vectors. Xws li matrices tau txais ib kab ntawm cov lej xwb. Txhawm rau kom nkag siab qhov loj npaum li cas lub rooj muaj, koj yuav tsum tau them sai sai rau cov kab thiab kab. Thawj yog txhais los ntawm tsab ntawv m, thiab qhov thib ob - n.
Nws yog ib qho tseem ceeb kom nkag siab tias kab pheeb ces kaum ntawm matrix yog dab tsi. Muaj ib sab thiab lub ntsiab. Qhov thib ob yog qhov strip ntawm cov lej uas mus ntawm sab laug mus rau sab xis los ntawm thawj mus rau lub caij kawg. Hauv qhov no, sab kab yuav nyob ntawm sab xis mus rau sab laug.
Nrog matrices, koj tuaj yeem ua yuav luag txhua qhov kev ua lej lej yooj yim tshaj plaws, uas yog, ntxiv, rho tawm, sib faib ntawm lawv tus kheej thiab cais los ntawm tus lej. Lawv tuaj yeem hloov pauv.
txheej txheem hloov pauv
A transposed matrix yog matrix uas kab thiab kab rov qab. Qhov no yog ua kom yooj yim li sai tau. Tsim los ua A nrog tus sau ntawv T (AT). Hauv txoj ntsiab cai, nws yuav tsum tau hais tias hauv kev ua lej siab dua qhov no yog ib qho ntawm cov haujlwm yooj yim tshaj plaws ntawm matrices. Lub rooj loj yog khaws cia. Xws li matrix hu ua transposed.
Properties ntawm transposed matrices
Yuav ua kom cov txheej txheem hloov pauv kom raug, koj yuav tsum nkag siab tias cov haujlwm no muaj dab tsi.
- Yuav tsum muaj qhov pib matrix rau txhua lub rooj hloov pauv. Lawv cov kev txiav txim siab yuav tsum sib npaug.
- Yog tias muaj chav ntsuas ntsuas, ces nws tuaj yeem tshem tawm thaum ua haujlwm no.
- Thaum lub matrix transposed ob zaug, nws yuavsib npaug.
- Yog tias peb piv ob lub rooj sib dhos nrog cov kab thiab kab hloov pauv, nrog rau cov lej ntawm cov haujlwm uas tau ua tiav, lawv yuav zoo ib yam.
- Cov cuab yeej kawg yog tias yog tias koj hloov cov ntxhuav sib npaug nrog ib leeg, ces tus nqi yuav tsum sib npaug rau cov txiaj ntsig tau txais hauv chav kawm ntawm kev sib faib cov hloov pauv hloov pauv hauv qhov kev txiav txim rov qab.
Vim li cas thiaj hloov?
Ib matrix hauv lej yog qhov tsim nyog txhawm rau daws qee yam teeb meem nrog nws. Ib txhia ntawm lawv xav tau lub rooj inverse los xam. Txhawm rau ua qhov no, koj yuav tsum nrhiav tus txiav txim siab. Tom ntej no, lub ntsiab ntawm lub neej yav tom ntej matrix yog xam, ces lawv transposed. Nws tseem mus nrhiav tau cov lus ncaj qha inverse xwb. Peb tuaj yeem hais tias nyob rau hauv cov teeb meem zoo li no nws yuav tsum nrhiav X, thiab qhov no yooj yim heev ua nrog kev paub txog kev paub txog kev sib npaug.
Results
Nyob hauv kab lus no, nws tau txiav txim siab tias qhov hloov pauv matrix yog dab tsi. Cov ncauj lus no yuav muaj txiaj ntsig zoo rau yav tom ntej engineers uas yuav tsum muaj peev xwm xam cov qauv tsim kom raug. Qee lub sij hawm matrix tsis yooj yim los daws, koj yuav tsum tawg koj lub taub hau. Txawm li cas los xij, hauv chav kawm ntawm cov tub ntxhais kawm lej, qhov kev ua haujlwm no ua tau yooj yim thiab tsis muaj kev siv zog.
