Sei kuti kuwana determinant pakati chizvaro?

Kuwana determinant pakati chizvaro kunokosha kwete chete nokuda kuitwa Linear nemasvomhu: somuenzaniso, upfumi kushandisa ichi kukarukureta chakagadziriswa maitiro ose Linear equations vane unknowns akawanda vari zvinowanzoshandiswa nezvinetso zvemari.

Pfungwa yacho determinant

Determinant kana determinant kuti chizvaro inonzi mari yakaenzana vhoriyamu parallelepiped zvakavakwa panzvimbo yayo mutsara vectors kana pembiru. Change kukosha ichi chete kuti mativi chizvaro umo nhamba mitsara neshongwe chete. Kana chizvaro nhengo - nhamba, nhamba achava uye determinants.

Kukarukureta pamusoro determinants

Yeuka kuti pane mimwe mitemo anogona kugarwa zvikuru Masvomhu akadaro.

Sezvo determinant pakati chizvaro zvinosanganisira nhengo imwe, ndiko chete maatomu akafanana. Ngaaverenge determinant rechipiri kuti hakuna kuoma, zviri Zvakwana zvibereko diagonal nhengo Tora zvinobikwa zvinhu dzinongoda pamusoro yechipiri diagonal.

Pakuverenga ari determinant 3 pamusoro nyore nzira kuita pamusoro Triangle mutemo. Kuti aite izvi, kuita zvinotevera matanho:

1. Tinoona zvinobikwa matrices matatu nhengo riri yayo huru diagonal.
2. Muwande nenhengo nhatu vari zvokuridza, zvigadziko zvacho akaererana mukuru diagonal.
3. Dzokorora rokutanga uye rechipiri chiito kune yechipiri diagonal.
4. Find Verengai kwaizoita tsika muzvirevo Masvomhu, nhamba vakawana mundima wechitatu, tinoita zvakaipa ukoshi.

To nyore kupedza kuwana determinant kurongeka 4 uye yakakwirira kukura, zvakakodzera kufunga ehupfumi nokugarwa determinants zvose:

1. The kukosha determinant haina kushanduka mushure transposition pakati chizvaro.
2. Kupanana mbiri mutsara pedyo kana Mbiru kunotungamirira kune nokuchinja chiratidzo determinant.
3. Kana chizvaro ane yakaenzana misara miviri kana mbiru, kana zvose zvinhu mbiru (mitsetse) zero, ayo determinant ndiyo razero.
4. Chokuwanziridza of chizvaro chero nhamba kunotungamirira kuwedzera yawo determinant iroro kangani.

Uchishandisa pamusoro ehupfumi inoita nyore kuita kutsunga ari determinant pakati chizvaro pakati zvemasanga kurongeka. Somuenzaniso, kushandisa murayiro rutapudzo nzira apo manyowa ari determinant chinhu mutsara (mbiru) vawanda nokuda cofactor.

Imwe nzira iyo yekudyidzana nyore kuwana determinant chizvaro, kuti auye nayo kuna mativi chimiro, kana zvose okunze pasi huru diagonal vari razero. Panyaya iyi, iyo determinant rinowanikwa sezvo zvibereko nhamba akaiswa pamusoro ichi diagonal.

Zvisinei, uye pakupedzisira ndinoda kuona kuti kuverenga pamusoro determinants, kunyange zvazvo rine raiita nyore masvomhu, kunoda kutarisirwa uye kutsungirira.