Pehea e e loaa i ka determinant o ka'ōpū mai?

Loaa i ka determinant o ka'ōpū mai,ʻo nui ole wale no ka hana o ka laina hōʻailona helu: no ka laʻana, hoʻokele waiwai ka hoʻohana 'ana i kēia i ka ho omaulia Wehewehe i nā'ōnaehana o ka laina nā helu kaulike me ka mau unknowns e hoʻomano hoʻohana ma aneiai pilikia.

I ka manaʻo o ka determinant

Determinant paha determinant o ka'ōpū mai ua kapaia he huina like ka leo parallelepiped kūkulu ma luna o kona lalani vectors paha kolamu. E huli i kēia mea wale no i huinahalike kēia hiapo a ma i ka helu o ka lalani a me nā kolamu o ia. Inā ka'ōpū mai nā lālā - i ka helu, ka helu, e ia a me determinants.

I ka ho omaulia ana o determinants

E hoʻomanaʻoʻoukou i ka loaʻa nō kekahi rula i nui kōkua hiki ia ho.

Mai ka determinant o ka'ōpū mai oia o kekahi lālā, ia mea he hookahi hehee ai. E huli i ka determinant o ka lua o ka papa mea,ʻaʻole paʻakikī, ia mea nui o ka huina hoonui o ka diagonal mau lala e lawe i ka huina hoonui o ka hehee wale manaʻo ma luna o ka mea kiʻekiʻe diagonal.

Helu ana i ka determinant 3 e pili ana i ka easiest ala, e lawe mai ma luna o ka triangle rula. E hana i kēia, hana i ka i kēia mauʻanuʻu.

1. Mākou i loaʻa i ka huina hoonui o ka ekolu matrices o ka lala ke aupuni 'ma luna o kona papa kuhikuhi diagonal.
2. Hoonui ma 'ekolu mau lala e noho ana ma luna o nā triangle mauna, nā kumu, a i mea ia laua i ka papa kuhikuhiE diagonal.
3. E hana hou i ka mea mua, a me ka lua o ka hana i ka mea kiʻekiʻe diagonal.
4. E huli i ka huina o ka kūpono aiee i loko o ka mua ho, i ka helu i loaa i loko o ke kolu o ka paukū, ua lawe i ka io nui.

E hiki wawe ka pana aku au i loaa i ka determinant o ka mea 4 a me ka oi aku Ana, ia mea pono e noonoo i ka waiwai i uluhia e nā mea a pau determinants:

1. ua ole hoʻololi ma hope o ka transposition o ka'ōpū mai o ka waiwai o ka determinant.
2. Āina i ka pili lalani elua paha kolamu hiki aku ai i ka loli i loko o ka hoailona o ka determinant.
3. Inā ka'ōpū mai i mau like lalani a kolamu, a me nā mea a pau o nā kumu o ke kolamu (laina) 'Aʻohe, kona determinant mea Aʻohe.
4. Multiplication o ka'ōpū mai i kekahi helu hiki aku ai i ka mahuahua ana o kona determinant i loko o ka hookahi helu o ka manawa.

E ho ohana i ka luna waiwai i mea oluolu e lawe mai manao paa o ka determinant o ka'ōpū mai o ākeʻakeʻa kumu mea. No ka laʻana, hoʻohana 'mea ka ho'ēmiʻana hana ma i ka decomposition o ka determinant hehee ai lalani (kolamu) hoonuiia e ka cofactor.

Kekahi hana a me ka nui loa simplifies loaa i ka determinant mua, mea e lawe mai ia i ka triangular ano, i ka wa a na kumu mua a pau ma lalo o ka papa kuhikuhiE diagonal i Aʻohe. Ma keia hihia, ke determinant he pōpilikia like me ka huina hoonui o ka helu hoʻonoho ma kēia diagonal.

A eia ka mea hope au makemake makemake, e hoailona oukou i ka i ka ho omaulia ana o determinants, naʻe ka mea, he o ka seemingly mea makemakika hoʻomaulia, nae, pono nui malama a me ka perseverance.