Okuqukethwe
Kule ncwadi, sizocubungula incazelo yezinga le-matrix, kanye nezindlela engatholakala ngazo. Sizophinde sihlaziye izibonelo ukukhombisa ukusetshenziswa kwethiyori ekusebenzeni.
Ukunquma izinga le-matrix
Izinga le-matrix yizinga lesistimu yayo yemigqa noma amakholomu. Noma iyiphi i-matrix inamarenki ayo omugqa nekholomu, alingana namanye.
Izinga lesistimu yomugqa iyinani eliphakeme lemigqa ezimele ngomugqa. Izinga lesistimu yekholomu linqunywa ngendlela efanayo.
amanothi:
- Izinga le-matrix enguziro (elichazwa ngophawu “θ“) wanoma yimuphi usayizi unguziro.
- Izinga lanoma iyiphi i-vector yerowu ye-nonzero noma i-vector yekholomu ilingana neyodwa.
- Uma i-matrix yanoma yimuphi usayizi iqukethe okungenani into eyodwa engalingani noziro, izinga layo alikho ngaphansi kweyodwa.
- Izinga le-matrix alilikhulu kunobukhulu bayo obuncane.
- Ushintsho oluyisisekelo olwenziwe ku-matrix alushintshi izinga layo.
Ukuthola izinga le-matrix
Indlela Encane Yokuvula
Izinga le-matrix lilingana ne-oda eliphezulu le-nonzero .
I-algorithm imi kanje: thola abancane kusukela kuma-oda aphansi kakhulu kuye kwephezulu. Uma encane ni-oda alilingani noziro, futhi konke okulandelayo (n +1) zilingana no-0, ngakho-ke izinga le-matrix linjalo n.
Isibonelo
Ukwenza kucace kakhudlwana, ake sithathe isibonelo esisebenzayo futhi sithole izinga le-matrix A ngezansi, kusetshenziswa indlela yomngcele wezingane.
Isixazululo
Sibhekene ne-4 × 4 matrix, ngakho-ke, izinga layo alikwazi ukuba ngaphezu kwe-4. Futhi, kunezici ezingezona zero ku-matrix, okusho ukuthi izinga layo alikho ngaphansi kweyodwa. Ngakho-ke ake siqale:
1. Qala ukuhlola abancane besigaba sesibili. Okokuqala, sithatha imigqa emibili yekholomu yokuqala neyesibili.
Okuncane kufana neziro.
Ngakho-ke, siqhubekela ezincane ezilandelayo (ikholomu yokuqala isala, futhi esikhundleni sesibili sithatha eyesithathu).
Omncane ngu-54≠0, ngakho-ke izinga le-matrix okungenani libili.
Qaphela: Uma lokhu okuncane kuvela ukuthi ilingana noziro, sizophinde sihlole izinhlanganisela ezilandelayo:
Uma kudingeka, ukubala kungaqhutshekwa ngendlela efanayo ngeyunithi yezinhlamvu:
- 1 no-3;
- 1 no-4;
- 2 no-3;
- 2 no-4;
- I-3 ne-4.
Uma zonke izingane zohlelo lwesibili bezilingana noziro, izinga le-matrix belizolingana nokukodwa.
2. Sakwazi cishe ngokushesha ukuthola ingane evumelana nathi. Ngakho ake siqhubekele phambili abancane besigaba sesithathu.
Kumncane otholakele we-oda lesibili, onikeze umphumela ongewona uziro, sengeza umugqa owodwa kanye nekholomu eyodwa egqanyiswe ngokuluhlaza (siqala kweyesibili).
Encane ivele yaba nguziro.
Ngakho-ke, sishintsha ikholomu yesibili iye kweyesine. Futhi emzamweni wesibili, siyakwazi ukuthola encane engalingani noziro, okusho ukuthi izinga le-matrix alikwazi ukuba ngaphansi kuka-3.
Qaphela: uma umphumela uphenduka uziro futhi, esikhundleni somugqa wesibili, sizothatha owesine siqhubeke futhi siqhubeke nokusesha "omuhle" omncane.
3. Manje kusasele ukunquma abancane besigaba sesine ngokusekelwe kulokho okutholwe ngaphambili. Kulokhu, yinye ehambisana nesinqumo se-matrix.
Okuncane kulingana no-144≠0. Lokhu kusho ukuthi izinga le-matrix A ilingana 4.
Ukwehliswa kwe-matrix ibe ifomu elinezinyathelo
Izinga le-matrix yesinyathelo lilingana nenani lemigqa engeyona iqanda. Okungukuthi, konke okudingeka sikwenze ukuletha i-matrix efomini elifanele, isibonelo, ukusebenzisa, okuyinto, njengoba sishilo ngenhla, ayishintshi isikhundla sayo.
Isibonelo
Thola izinga le-matrix B ngezansi. Asithathi isibonelo esiyinkimbinkimbi kakhulu, ngoba umgomo wethu oyinhloko uwukukhombisa ukusetshenziswa kwendlela ekusebenzeni.
Isixazululo
1. Okokuqala, susa okuphindwe kabili kuqala emgqeni wesibili.
2. Manje susa umugqa wokuqala emgqeni wesithathu, uphindaphindwe kane.
Ngakho-ke, sithole i-matrix yesinyathelo lapho inani lemigqa engeyona i-zero lilingana nemibili, ngakho-ke izinga layo lilingana no-2.