Contents
A cikin wannan ɗaba'ar, za mu yi la'akari da abin da ke tattare da haɗin linzamin linzamin kwamfuta, masu dogara da layi da masu zaman kansu. Za mu kuma ba da misalai don ƙarin fahimtar kayan ka'idar.
Ma'anar Haɗin Maɗaukaki na Litattafai
Haɗin kai tsaye (LK). s1tare da2,…, sn matrix A da ake kira magana mai zuwa:
αs1 + αs2 +… + ban
Idan duk coefficients αi daidai suke da sifili, don haka LC ne maras muhimmanci. A wasu kalmomi, haɗaɗɗen layin layi maras muhimmanci yayi daidai da jeri na sifili.
Misali: 0 · ku1 +0 s2 +0 s3
Saboda haka, idan aƙalla ɗaya daga cikin ƙididdiga αi bai kai sifili ba, to LC ne maras muhimmanci.
Misali: 0 · ku1 +2 s2 +0 s3
Layuka masu dogaro da kai da masu zaman kansu
Tsarin kirtani shine dogaro da kai tsaye (LZ) idan akwai haɗin layi marar sauƙi daga cikinsu, wanda yayi daidai da layin sifili.
Don haka yana biye da cewa LC maras muhimmanci a wasu lokuta zai iya zama daidai da sifilin kirtani.
Tsarin kirtani shine kai tsaye mai zaman kansa (LNZ) idan LC maras muhimmanci kawai yayi daidai da layin mara amfani.
Notes:
- A cikin matrix murabba'in, tsarin jere shine LZ ne kawai idan ƙayyadaddun wannan matrix ɗin ba shi da komai (da = 0).
- A cikin matrix murabba'in, tsarin jere shine LIS ne kawai idan ƙaddarar wannan matrix ɗin bai daidaita da sifili ba (da ≠ 0).
Misalin matsala
Bari mu gano idan tsarin kirtani shine
Yanke shawara:
1. Da farko, bari mu yi LC.
α1{3} + a2{9}.
2. Yanzu bari mu gano abin da dabi'u ya kamata a dauka α1 и α2ta yadda haɗin linzamin ya yi daidai da zaren banza.
α1{3} + a2{9 12} = {0}.
3. Bari mu yi tsarin daidaitawa:
4. Raba lissafin farko da uku, na biyu da hudu:
5. Maganin wannan tsarin shine kowane α1 и α2, Tare da α1 = -3a2.
Misali, idan α2 = 2sa'an nan α1 = -6. Muna musanya waɗannan dabi'u cikin tsarin ma'auni na sama kuma mu sami:
amsa: haka layin s1 и s2 mai dogara da layi.