Practical mafomu uye kuwana Ivan Kuchin chizvaro

Matrix - tafura, riri azadzwa imwe yakatarwa nhamba imwe kuti. Izvi izwi rakatangwa kunoshamisa musayendisiti British yokungotaura James Sylvester. Ndiye mumwe havaoni kuti dzidziso kushanda izvi kwemasvomhu zvinhu.

To musi, vave kushandiswa nevakawanda panguva Masvomhu siyana, izvo kwakavakirwa nzira dzakadai, somuenzaniso, kuwana Ivan Kuchin chizvaro mapazi akasiyana-siyana mabasa evanhu. Nzira iyi inobva Pakusarudza asingazivikanwi parameters dzakasiyana-siyana enyika equations uye rinowanzoshandiswa panguva zvoupfumi Masvomhu.

Kune inotevera inokosha zviitiko izvi kwemasvomhu zvinoriumba: yakaderera nyaya, wechikamu, zero, square, diagonal, kuroorwa. Lowercase ine chimwe chete musara okunze, uye shongwe - rimwe chete shongwe nhamba. Zero - ose zvinhu zvayo zvakaenzana 0. The kwemasvomhu mativi ose chinhu nhamba mbiru zvakaenzana nokuwanda pemitsara. Zvadaro, muna diagonal, riri pamusoro huru diagonal zvinhu zvakasiyana "0", uye vamwe zvinofanira kuva akaenzana "0". Kuzivikanwa - ari subspecies ari diagonal chizvaro. Her chete "1" iri huru diagonal.

Mienzaniso matrices:

sezvamakaropafadzwa: A _k - munhu Generic izwi, mumwe _ij - okunze,

(A) 2-fung murayiro;

(B) - yakaderera nyaya;

(A) -3-fung murayiro;

(G) - Muenzaniso 2-fung kuti chikwata tafura;

Uyewo, pane Ivan Kuchin chizvaro, tsanangudzo chiri sezvinotevera. Kana kane yepakutanga patafura inofambiswa hadzisisina yapihwa. A-siyana nzira kuti akwanise kuwana Ivan Kuchin chizvaro. The nyore izvi inobva tsanangudzo determinant uye cofactors (uyewo dzimwe nguva anonzi determinant).

The determinant of chizvaro kuratidzwa ane _{11 22} -a ₁₂ ane _21, zvinonzi inoratidzwa sezvinotevera: | A |. The pamusoro payakavakirwa chinoshanda kuti tafura maererano wechipiri murayiro. Chero nzira nokuti determinants ari matrices kuvakuru kurongeka. Vanosungirwa zvimiso kuvapo determinant - tafura inofanira akaenzana. In tsika, ichi chinhu dzidziso iyi zvinowanzoshandiswa mune nzira dzakadai kuwana Ivan Kuchin chizvaro.

Wechipiri unokosha zvinoriumba kuti anogona kushandiswa kuwana zvinokosheswa zvinhu zvayo ndiyo cofactor. It rinowanikwa kubudikidza nzira: A _ij = (- 1) ^{Ini + J} * M _ij, sezvamakaropafadzwa M - iri zviduku. Zvikurukuru - ndiwo wokuwedzera determinant, izvo zvinogona kuwanikwa nezverairo kubvisa mutsara uye mbiru umo basa chinhu iri. Somuenzaniso, kuti tafura, maererano rechipiri kuti, icho kwokutanga mundima, muchitokisi ₁₁ mukwanisi algebraic maatomu akafanana ₂₂ a.

Kuwana Ivan Kuchin chizvaro rinoitwa muna 3 nezvishoma. Danho rokutanga kunotsanangurwa determinants. In danho rinotevera - ose cofactors, ayo panguva iyoyo akanyorwa maererano maindex ayo, uye zvinoitika tafura cofactors. Panguva yokupedzisira pavaipfuura Ivan Kuchin chizvaro yaunganidzwa kuwanikwa iyo inoguma vachiwedzera mumwe algebraic kuwedzererwa ari determinant.

The anowanzodanwa kushandiswa chizvaro zvaishandiswa zveupfumi Masvomhu. Uchibatsirwa wavo, unogona nyore uye nokukurumidza dzinoona yakawanda mashoko. Panyaya iyi, kuguma mugumisiro zvichakurukurwa nenzira nyore maonero chimiro.

Imwe nzvimbo yebasa kwevanhu, umo chizvaro unowanikwa kushandiswa zvikuru - ichi simulation 3D-mifananidzo. Ezvemutauro aya revatema kupinda Mabhokisi ano kuti Implementation pamusoro 3D-mienzaniso uye kubvumira vagadziri kuti nokukurumidza uye zvakarurama kuita zvakakodzera Masvomhu. Mumiriri dzepamusorosoro zvakadaro gadziriro iri Compass-3D.

Chimwe chirongwa, izvo integrates nezvekushandisa kuti aite Masvomhu zvakadaro, ndiye Microsoft Office, uye zvakawanda zvakananga - spreadsheet chirongwa Excel.