Ngokoqobo nokuthola matrix ephambene

Matrix - itafula, okuyinto ugcwele ezithile izinombolo ngendlela ethile. Leli gama laqanjwa usosayensi oluvelele British theory James Sylvester. Ungomunye abasunguli inkolelo-mbono yokuziphendukela isicelo salezi zici zezibalo.

Kuze kube manje, baye kabanzi phakathi izibalo ahlukahlukene, okuncike indlela efana, isibonelo, ukuthola matrix ephambene emagatsheni ahlukahlukene yizenzo zabantu. Le ndlela isekelwe sokunquma nemingcele esingaziwa izinhlelo ezihlukahlukene zibalo futhi ngokuvamile sisetshenziswa phakathi izibalo kwezomnotho.

Kukhona amacala ezikhethekile lezi izingxenye zezibalo: letincane, ikholomu, zero, sikwele, diagonal, elilodwa. Lowercase siqukethe umugqa owodwa kuphela izakhi, futhi ikholomu - of ikholomu eyodwa izinombolo. Zero - zonke izakhi zawo elilingana 0. Isikwele nezibalo inombolo elementi amakholomu ilingana inombolo yemigqa. Ngakwelinye ihlangothi, in the diagonal, esisogwini izakhi eziyinhloko idayagonali kuhlukile "0", futhi ingxenye yawo esele ingabe kufanele kulingane "0". Identity - kuyinto zenyathi matrix idayagonali. Wakhe kuphela "1" isendaweni idayagonali main.

Izibonelo matrices:

lapho: A _k - yigama elididiyelayo, a _IJ - izakhi,

(A) Ukuze 2-th;

(B) - letincane;

(A) Ukuze -3-th;

(G) - Isibonelo 2-th ukuze iyunithi etafuleni;

Futhi, kukhona i-matrix ephambene, kwencazelo okuyinto kanje. Lapho iphindwe etafuleni yokuqala ngempendulo iyunithi eyatholakala. A ezihlukahlukene amasu evumela ekutholeni matrix ephambene. Indlela elula lezi kusekelwe kwencazelo determinant futhi cofactors (futhi ngezinye izikhathi ibizwa ngokuthi determinant).

Determinant we matrix ukubonakaliswa ₁₁ a ₂₂ -a ₁₂ a _21, kukhonjiswe kanje: | A |. Ifomula ngenhla isebenza itafula ngokomyalo yesibili. Noma yimuphi ifomula ukuze etintfweni we matrices oda ephakeme. isimo Kuyisibopho ukuba khona determinant - kuthebula kufanele ibe square. In practice, lokhu ingxenye yaleli Inkolelo-mbono avame ukusetshenziswa inqubo efana sokuthola matrix ephambene.

Eyesibili eqakathekileko engasetshenziswa ukuthola amagugu izakhi zalo iyona cofactor. Kulinganiselwa by ifomula: A _IJ = (- 1) ^{i + j} * M _IJ, lapho M - kuyinto ewubala. Ngokuyisisekelo - kuba determinant ezengeziwe, okuyinto ingatholakala ukususa ngemicondvo irowu kanye ikholomu lapho isici asebenzayo itholakala. Ngokwesibonelo, i-itafula, ngokomyalo yesibili, olubonakaliswa ngaphambili embhalweni, kuseli ₁₁ izophelelisa elementi we-Aljibhra ₂₂ a.

Ukuthola i-matrix ephambene wenziwa ngezigaba 3. Isigaba sokuqala kuchazwa etintfweni. In the isinyathelo esilandelayo - zonke cofactors, abese eqoshiwe ngokuhambisana izinkomba zayo, futhi kuvela cofactors etafuleni. Ngesikhathi esigabeni sokugcina matrix ephambene etholwe okwatholakala lapho ekugcineni siphindaphindeka ngamunye anezele aljibra determinant.

Elivame ukusetshenziswa kakhulu-matrix lisetshenziswe izibalo kwezomnotho. Ngosizo lwabo, ungakwazi kalula futhi ngokushesha ukucubungula esiningi ulwazi. Kulokhu, umphumela izokwethulwa ngendlela elula ukuthi bezibona fomu.

Esinye isici esibangela umsebenzi womuntu, lapho matrix futhi yathola ukusetshenziswa kakhulu - lokhu sekulingisa 3D-izithombe. La mathuluzi zihlanganiswa zibe amaphakheji yesimanje ukuze kuqalise ukusebenza 3D-amamodeli uvumele abaklami ukuba ngokushesha nangokunembile ukwenza izibalo ezidingekayo. Omele ovelele izinhlelo ezinje Compass-3D.

Olunye uhlelo, okuyinto luhlanganisa amathuluzi ukuze afeze izibalo ezinjengalezi, kuyinto-Microsoft Office, ikakhulukazi - Uhlelo isipredishithi Excel.