
centrosimetric matricks

ganithashaasthrathil, prathyekichu leanier algibrayilum matricks sidhaanthathilum, oru centrosimetric matricks athinte kendrathekkurichu samamithiyulla oru maatriksaanu. kooduthal krithyamaayi paranjaal, oru "n" × "n" matricks "a" = ["a" "i", "j"] athinte entrikal thripthippedumbol centrosimetric aanu.
jeey" ennathu "enn" × "enn" exchange maatriksine soochippikkukayaanenkil, ethirbhujathil 1 umm mattevideyengilum 0 umm (athaayath, "jeey" aii "," enn "+ 1 −" aii "= 1;" jeey "aii", "jeey" = 0 "jeey" lkku ≤ "enn" + 1 − "aii"), appol "eiii" "eiii" ennathu "eiii" "=" "jaa" "aanenkil maathram centrosimetric aayirikkum.
bandhapetta gadanakal.
a" "i", "" j "= −" a "" n "−" "i" + 1 "," n "−" "j" + 1 "i", "j" ′ {1 "," ennathinu samthrupthippeduthukayil "" n "" × "" n "matricks" "a" "ennathu" "vakra-kendra-samamiti" "ennu parayappedunnu"...n"}. thulyamaayi, "a" ennathu vakra-kendra-samamithiyaan, "aj" = − "ja" aanenkil, ivide "j" ennathu mukalil nirvachicha exchange matricks aanu.
aj" = "ja" enna kendraasamithisambrabandham oru swaabhaavika saamaanyavalkkaranathilekk svayam kadam kodukkunnu, avide "j" ennathinu pakaram oru involtery matricks "k" (i.iii.," k "2 =" i ") allengil, kooduthal pothuve, oru poornnasankhyayaaya" m "> 1 nuu" k "samthrupthikaramaaya" km = i "enna matricks. oru nischitha matricks" a "upayogichu sanjarikkunna ellah involtery" k "umm thirichariyunnathinulla commutation bandhatthinte vipareeta prashnavum padichu.
cemetric centrosimetric maatriksukale chilappol bysimetric maatriksukal ennu vilikkunnu. graundu feeld yadhaartha samkhyakalude feeldaayirikkumbol, exchange matricks munpo sheshamo gunanathe thudarnnu saadhyamaaya chihna maattangalkk purame eejan moolyangal athepadi nilanilkkunna dvi-samamiti maatriksukalaan bysimetric maatriksukal ennu theliyikkappettittund. hermissian centrosimetric, scue-centrosimetric matrixukalkkum samanamaaya phalam labhikkunnu.

