Yuav ua li cas koj thiaj paub tias kev hloov pauv yog ib qho rau ib qho?
Yuav ua li cas koj thiaj paub tias kev hloov pauv yog ib qho rau ib qho?

Video: Yuav ua li cas koj thiaj paub tias kev hloov pauv yog ib qho rau ib qho?

Video: Yuav ua li cas koj thiaj paub tias kev hloov pauv yog ib qho rau ib qho?
Video: Vim li cas koj lub neej thiaj li tsis txawj muaj nyiaj yog ua cas? ( How to Change your life) 2024, Hlis ntuj nqeg
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Thaum twg ib linear kev hloov pauv yog piav nyob rau hauv lub sij hawm ntawm ib tug matrix nws yog ib qho yooj yim mus txiav txim yog tias cov linear transformation yog ib-rau-ib los yog tsis yog los ntawm kev txheeb xyuas cov linear dependence ntawm kab ntawm matrix. Yog cov kab yog linearly ywj siab, lub linear transformation yog ib-rau-ib.

Nyob rau hauv no hais txog, nws txhais li cas yog hais tias ib tug linear transformation yog ib tug mus rau ib tug?

Ib-rau-ib-linear Transformations . Txhais : A linear transformation uas qhia cov ntsiab lus sib txawv / vectors los ntawm cov ntsiab lus sib txawv / vectors hauv yog hais tias yog a ib-rau-ib transformation los yog txhaj tshuaj kev hloov pauv . Yog li ntawd rau txhua vector, muaj tiag tiag ib vector li ntawd.

Ib tug kuj yuav nug, ib tug linear transformation yuav mus rau tab sis tsis yog ib tug rau ib? Hauv cov ntsiab lus matrix, qhov no txhais tau tias a kev hloov pauv nrog matrix A yog mus rau yog Ax = b muaj kev daws teeb meem rau ib qho b hauv qhov ntau. Yog ib kev hloov pauv yog mus rau tab sis tsis yog ib leeg , koj ua tau xav txog tus sau raws li muaj ntau vectors kom haum rau hauv ntau yam.

Ntawm no, lub matrix puas tuaj yeem yog ib qho rau ib qho thiab tsis mus rau?

Hauv particular, tus nkaus xwb matrices uas ua tau ua ob leeg ib-rau-ib thiab mus rau yog square matrices . Ntawm qhov tod tes, koj ua tau muaj ib m × n matrix nrog m<n mus rau , los yog ib uas yog tsis mus rau . Thiab koj ua tau muaj mx n matrices nrog m>n ib-rau-ib , thiab matrices uas yog tsis yog ib leeg.

Koj ua pov thawj li cas linear transformation?

Rau txhua y ∈ Y muaj tsawg kawg ib x ∈ X nrog f(x) = y. Txhua lub ntsiab lus ntawm codomain ntawm f yog qhov tso zis rau qee qhov kev tawm tswv yim. Peb tuaj yeem tshawb xyuas seb a linear transformation yog ib-rau-ib los yog mus rau los ntawm kev tshuaj xyuas cov kab ntawm nws cov qauv matrix (thiab kab txo qis).

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