Mea hiki palapala noi, a loaa i ka inverse'ōpū mai

Mua - ka papaʻaina, a ua hoopihaia me ka kekahi kau o ka nui loa i loko o ka kekahi mea. Kēia manawa i dala poʻokela Pelekāne nä känaka 'epekemaʻimi naʻauao James Sylvester. He mea kekahi o na Mamua o ka pähola 'o ke noi ana o kēia mau makemakika hehee wale.

I ka lā, ka mea i ua hoʻomano hoʻohana iloko o kekahi mau helu, a i ka nānā 'ana ma luna o kekahi papa hana e like me, no ka laʻana, loaa ia makou ka inverse mua i loko o na lala likeʻole o ke kanaka hope. Kēia papa hana ua muli ma ka hoomaopopo ana i ka ike ole kiko'î o kekahi mau nenoai o nā helu kaulike, a ua pinepine hoʻohana 'ia i loko o ka hoʻokele waiwai ho.

Aia nō ka mea kēia kūikawā hihia kēia mau makemakika eiiiiiaiou: haʻahaʻa hihia, he kolamu, 'Aʻohe, heʻahā like, diagonal, hookahi. Lowercase ninoieo o hoʻokahi wale lalani o ka oihana mua, a me he kia ao - o ka hookahi kia ao o ka helu. 'Aʻohe - a pau o kona kumu like no 0. ka makemakika huinahalike o ka hehee ai ka helu o nā kolamu like me ka helu o ka lalani. I ka huli, i loko o ka diagonal, Aia ma luna o ka papa kuhikuhiE diagonal hehee okoa mai "0", a me ke koena o ka mea e e like i "0". Hawaii Five-- mea he subspecies o ka diagonal'ōpū mai. Ia wale "1" ua aia ma luna o ka papa kuhikuhiE diagonal.

Ano he kumu hoʻohālike o ka matrices:

kahi: A _K - he nōhie kau, he _ij - hehee wale,

(A) 2-la mea;

(B) - haʻahaʻa hihia;

(A) -3-la mea;

(G) - Laʻana 2-la mea pa alima papaʻaina;

Nō hoʻi, he mea he inverse mua, i ka wehewehena o ka i mea like penei. I ka hoonuiia ma ka palapala papa aina o ka manaʻo pa alima ua loaa. Aʻano o nā 'ana i kūpono e ae i loaa i ka inverse'ōpū mai. Ka simplest o kēia mau mea i ka nānā 'ana ma luna o ka wehewehena o ka determinant a me cofactors (i kekahi manawa, haawiia i like ka determinant).

Ke determinant o ka'ōpū mai,ʻo ka olelo o ka ₁₁ i ka ₂₂ -a ₁₂ i ka _21, ka mea, ua hōʻike like penei: | A |. Ka luna haʻilula mea i pololei ia no ka papa e like me ka lua o ka papa. Kekahi haʻilula no na determinants o na matrices o kiekie mea. Obligatory ano no ke ola ana o ka determinant - ka papaʻaina e e ahalike. Ma ka hana pono, i kēia hehee ai o keia kumumanaʻo ka loa pinepine ia i loko o ia ke kaʻina hana i loaa i ka inverse'ōpū mai.

Ka lua o ka nui ke keʻena e hiki ke hoʻohana i ka 'imi i nā aiee o kona oihana mua o ka cofactor. Ua he pōpilikia ma ka haʻilula: A _ij = (- 1) ^{au + hu} * M _ij, kahi M - Ua hoʻololi iki. ʻano nui - ia mea he hou determinant, i hiki ke loaa ma ka conceptually wehe i ka lalani a me ka kolamu ma i kaʻeleu hehee ai ua ke aupuni '. No ka laʻana, no ka papa, e like me ka lua o ka papa, a ua hoike mai mamua i loko o ka kikokikona, i loko o ka halepaahao ₁₁ E hoʻokō algebraic hehee ai ₂₂ i ka.

Loaa ka inverse kēia hiapo a ua hana i loko o 3 kahua o ka hoʻonaʻauao. Ka mua ke kahua me ua ho'ākāka 'determinants. I ka mea e hiki mai ana ka anu u - a pau na cofactors, a i laila, kākau i loko, e like me kona indexes, a me ka mea huli mai i ka papaʻaina cofactors. Ma ke kahua hope o ka inverse'ōpū mai loaa ia ma ka mea i hoʻoholo 'i kukulu a hoonui loa kēlā algebraic e lewa i loko o ka determinant.

Ka loa mau hoʻohana kēia hiapo a hoʻohana 'ia i loko o aneiai ho. Me kā lākou kōkua, e hiki eaaei a koke ke kō nui dala o ka 'ike. Ma keia hihia, no ka hopena hopena e e hōʻike i ka oluolu i ka pokole o ka palapala.

Kekahi wahi o kanaka haʻawina, ma a ka'ōpū mai i ike nui ana - keia hōʻulu 3D-kiʻi. Mau hana i noniakahi i loko o kēia pūʻolo helu no ka manaʻo o 3D-Ke Ana Hoʻohālike a me ka ae poʻe akamai e koke aku, a pololei hana i ka mea e pono ai ho. Ke koʻikoʻi loa, ka Luna o ia mau nenoai mea he panana-3D.

Kekahi polokalamu, a integrates ka hana, e lawe mai i na ho, o Microsoft Office, a oi manaʻoi - pakuhi polokalamu kela aku.