Ib daim ntawv "yooj yim" xws li kab pheeb ces kaum tso cai rau koj los txiav txim siab tam sim ntawm qib, eigenvalues, invertibility, nws puas yog qhov projection, thiab lwm yam. Qhov ntawd yog, txhua yam khoom uas tsis sib xws hauv qab kev hloov pauv zoo sib xws, yooj yim dua los ntsuas.
Dab tsi yog lub hom phiaj ntawm txoj kab sib chaws?
Lub hom phiaj tseem ceeb ntawm kev faib kab pheeb ces kaum yog kev txiav txim siab ntawm kev ua haujlwm ntawm matrix. Yog tias P⁻¹AP=D, qhov twg D yog kab pheeb ces kaum, ces nws paub tias qhov nkag ntawm D yog qhov tseem ceeb ntawm matrix A thiab P yog matrix ntawm eigen vectors ntawm A.
Dab tsi yog lub hom phiaj ntawm diagonalization ntawm matrix?
Matrix diagonalization yog sib npaug rau kev hloov pauv cov kab ke hauv qab ntawm kev sib npaug rau hauv cov txheej txheem tshwj xeeb ntawm kev sib koom ua ke uas cov matrix siv daim ntawv canonical.
Dab tsi yog txoj kev diagonalization?
Diagonalization yog tus txheej txheem ntawm kev hloov lub matrix rau hauv kab pheeb ces kaumIb kab pheeb ces kaum. Tsis yog tag nrho cov matrices yuav diagonalized. Lub diagonalizable matrix tuaj yeem hloov mus rau hauv kab pheeb ces kaum los ntawm kev ua haujlwm yooj yim (multiplication, division, transposition, thiab lwm yam).
Leej twg invented diagonalization?
Hauv kev xav, Cantor's diagonal argument, tseem hu ua diagonalisation argument, kab pheeb ces kaum sib cav, kev sib cav anti-diagonal, txoj kab pheeb ces kaum, thiab Cantor's diagonalization pov thawj, tau luam tawm xyoo 1891 los ntawm Georg Cantor raws li kev ua lej pov thawj tias muaj cov txheej txheem tsis kawg uas tsis tuaj yeem muab tso rau hauv ib qho-…
