Mukati
Muchinyorwa chino, tichatarisa tsanangudzo yehuwandu hwematrix, pamwe chete nenzira iyo inogona kuwanikwa nayo. Tichaongororawo mienzaniso kuratidza kushandiswa kwedzidziso mukuita.
Kusarudza chinzvimbo che matrix
Matrix chinzvimbo inzvimbo yehurongwa hwayo hwemitsara kana makoramu. Chero matrix ane mutsara uye makoramu mitsara, iyo yakaenzana kune imwe neimwe.
Row system chinzvimbo ndiyo nhamba huru yemitsara yakazvimiririra. Chiyero chekoramu system inotarwa nenzira yakafanana.
Notes:
- Chiyero che zero matrix (inoratidzwa nechiratidzo "θ") chero saizi i zero.
- Chiyero chechero nonzero row vector kana column vector yakaenzana neimwe.
- Kana matrix yemhando ipi neipi iine chinhu chimwe chete chisina kuenzana ne zero, saka chinzvimbo chayo hachisi pasi pechimwe.
- Chiyero chematrix hachina kukura kupfuura hudiki hwayo.
- Elementary shanduko inoitwa pane matrix haichinji chinzvimbo chayo.
Kutsvaga chinzvimbo chematrix
Fringing Diki Method
Chiyero chematrix chakaenzana nehupamhi hwekurongeka kwenonzero.
Iyo algorithm yakaita seiyi: tsvaga vadiki kubva kune yakaderera mirairo kusvika kune yepamusoro. Kana mudiki nth order haina kuenzana ne zero, uye zvese zvinotevera (n +1) akaenzana ne0, saka chinzvimbo chematrix chiri n.
muenzaniso
Kuti zvijeke, ngatitorei muenzaniso unoshanda uye tiwane chinzvimbo cheiyo matrix A pazasi, uchishandisa nzira yekuganhura vana.
mhinduro
Isu tiri kutarisana ne 4 × 4 matrix, saka, nzvimbo yaro haigoni kuva yakakwirira kudarika 4. Uyezve, pane zvinhu zvisiri zero mumatrix, izvo zvinoreva kuti nzvimbo yacho haisi pasi peimwe. Saka ngatitangei:
1. Tanga kutarisa vadiki vehurongwa hwechipiri. Kutanga, tinotora mitsetse miviri yekutanga neyechipiri mbiru.
Mudiki akaenzana ne zero.
Nokudaro, tinopfuurira kune chiduku chinotevera (koramu yekutanga inoramba iripo, uye panzvimbo yechipiri tinotora yechitatu).
Mudiki i54≠0, saka chinzvimbo chematrix chingangoita maviri.
Cherechedza: Kana mudiki uyu akave akaenzana ne zero, isu taizowedzera kutarisa masanganiswa anotevera:
Kana zvichidikanwa, kuverengera kunogona kuenderera nenzira imwechete netambo:
- 1 ne3;
- 1 ne4;
- 2 ne3;
- 2 ne4;
- 3 uye 4.
Kana vese vadiki-yechipiri-yechipiri vakaenzana ne zero, ipapo chinzvimbo chematrix chaizoenzana nemumwe.
2. Takakwanisa kanenge pakarepo kuwana mudiki anokodzera isu. Saka ngatienderere mberi vadiki vehurongwa hwechitatu.
Kune yakawanikwa madiki eiyo yechipiri kurongeka, iyo yakapa isiri-zero mhedzisiro, isu tinowedzera mutsara mumwe uye imwe yemakoramu akaiswa mugirini (tinotanga kubva kune yechipiri).
Mudiki akazoita zero.
Nokudaro, tinoshandura chikamu chechipiri kune chechina. Uye pakuedza kwechipiri, isu tinokwanisa kuwana mudiki asina kuenzana ne zero, izvo zvinoreva kuti chinzvimbo che matrix hachigone kuva pasi pe3.
Cherechedza: kana chigumisiro chikava zero zvakare, panzvimbo yemutsara wechipiri, taizotora wechina mberi uye tienderere mberi nekutsvaga "akanaka" mudiki.
3. Zvino zvasara kuti zvionekwe vadiki verudzi rwechina zvichibva pane zvakawanikwa kare. Muchiitiko ichi, ndiyo inofananidzwa neinogadzirisa matrix.
Zvidiki zvakaenzana ne144≠0. Izvi zvinoreva kuti chinzvimbo chematrix A zvakaenzana ne4.
Kuderedzwa kwematrix kune fomu yakatsikwa
Chiyero chenhanho matrix yakaenzana nehuwandu hwemitsara yayo isiri zero. Ndiko kuti, zvose zvatinofanira kuita ndezvokuunza matrix kune fomu yakakodzera, somuenzaniso, kushandisa , iyo, sezvatataura pamusoro apa, haishanduki nzvimbo yayo.
muenzaniso
Tsvaga chinzvimbo chematrix B pazasi. Isu hatitore muenzaniso wakaomesesa, nekuti chinangwa chedu chikuru ndechekungoratidzira mashandisirwo enzira mukuita.
mhinduro
1. Chekutanga, bvisa zvakapetwa kaviri kubva pamutsetse wechipiri.
2. Zvino bvisa mutsara wekutanga kubva pamutsara wechitatu, wakapetwa neina.
Nekudaro, isu tine nhanho matrix umo nhamba yeasiri zero mitsara yakaenzana nembiri, saka chinzvimbo chayo chakaenzana ne2.