Imigqa encike emgqeni nezimele: incazelo, izibonelo

Kulolu shicilelo, sizocabangela ukuthi iyini inhlanganisela yomugqa weyunithi yezinhlamvu, iyunithi yezinhlamvu ezincike ngomugqa nezizimele. Sizophinde sinikeze izibonelo zokuqonda kangcono indaba yethiyori.

Okuqukethwe

Ukuchaza Inhlanganisela Yomugqa Wezintambo

Inhlanganisela yomugqa (LK) igama s1With2, ..., isin Matrix A kubizwe isisho saleli fomu elilandelayo:

α1 + αs2 + … + αsn

Uma wonke ama-coefficients αi zilingana no-zero, kanjalo ne-LC okuncane. Ngamanye amazwi, inhlanganisela yomugqa omncane ilingana nomugqa onguziro.

Ngokwesibonelo: 0 · isib1 + 0 · isekhondi2 + 0 · isekhondi3

Ngokufanelekile, uma okungenani eyodwa yama-coefficients αi ayilingani noziro, bese kuba yi-LC okungeyona into encane.

Ngokwesibonelo: 0 · isib1 + 2 · isekhondi2 + 0 · isekhondi3

Imigqa encike emgqeni futhi ezimele

Uhlelo lwezintambo luyi kuncike ngokomugqa (LZ) uma kukhona inhlanganisela yomugqa ongasho lutho, elingana nomugqa onguziro.

Ngakho-ke kuyalandela ukuthi i-LC engeyona into encane kwezinye izimo ingalingana neyunithi yezinhlamvu zero.

Uhlelo lwezintambo luyi ngokuzimela ngokomugqa (LNZ) uma kuphela i-LC encane ilingana neyunithi yezinhlamvu engenalutho.

amanothi:

  • Ku-matrix yesikwele, isistimu yomugqa iyi-LZ kuphela uma isicacisi sale matrix singuziro (the = 0).
  • Ku-matrix yesikwele, isistimu yomugqa iyi-LIS kuphela uma isicacisi sale matrix singalingani noziro (the ≠ 0).

Isibonelo senkinga

Ake sithole ukuthi uhlelo lwezintambo lukhona yini {s1 = {3 4};s2 = {9 12}} kuncike ngokomugqa.

Isinqumo:

1. Okokuqala, masenze i-LC.

α1{3 4} + a2{9 12}.

2. Manje ake sithole ukuthi yimaphi amanani okufanele athathe α1 и α2ukuze inhlanganisela yomugqa ilingane neyunithi yezinhlamvu engenalutho.

α1{3 4} + a2{9 12} = {0 0}.

3. Masenze uhlelo lwezibalo:

Imigqa encike emgqeni nezimele: incazelo, izibonelo

4. Hlukanisa isibalo sokuqala ngokuthathu, eyesibili ngokune:

Imigqa encike emgqeni nezimele: incazelo, izibonelo

5. Isixazululo salolu hlelo yinoma yisiphi α1 и α2, Nge α1 = -3a2.

Isibonelo, uma α2 = 2ke α1 =-6. Sifaka la manani endaweni yawo ohlelweni lwezibalo olungenhla bese sithola:

Imigqa encike emgqeni nezimele: incazelo, izibonelo

Impendulo: ngakho imigqa s1 и s2 kuncike ngokomugqa.

shiya impendulo