Kodi kupanga kupeza determinant a masanjidwewo chiyani?

Kupeza determinant a masanjidwewo n'kofunika osati kuchitapo kanthu a ajebura liniya: Mwachitsanzo, chuma ntchito mawerengedwe anathana dongosolo la maikwezhoni liniya ndi unknowns angapo ankagwiritsa ntchito mavuto a zachuma.

Lingaliro la determinant ndi

Determinant kapena determinant a masanjidwewo imatchedwa kuchuluka ofanana buku parallelepiped inamangidwa pa mzere zamoyo zina kapena mizati. Aziwerenga uno wokha kwa bokosi lalikulu lomwe chiwerengero cha mizere ndi mizati chomwecho. Ngati mamembala masanjidwewo - nambala chiwerengero adzakhala ndi determinants.

Mawerengedwe a determinants

Kumbukirani kuti pali malamulo amene angathe kwambiri atsogolere kuwerengetsera amenewa.

Popeza determinant ya masanjidwewo wopangidwa chiwalo chimodzi, ndi chinthu umodzi. Kuwerengetsa determinant a dongosolo chachiwiri sikovuta, ndi chokwanira cha mankhwala kwa anthu opendekera kutenga mankhwala a zinthu oyenerera pa sekondale opendekera.

Kuwerengetsa ndi determinant 3 chophweka njira kuchita pa makona ulamuliro. Kuti tichite zimenezi, kuchita zinthu zotsatirazi:

1. Ife tikupeza mankhwala a mawerengetsedwe atatu a anthu ili yaikulu ake opendekera.
2. Chulukitsani mwa anthu atatu amene ali pa Triangles, ndi zapansi zimene ziri kufanana kwa waukulu opendekera.
3. Bwerezani woyamba ndi kanthu yachiwiri yachiwiri opendekera.
4. Pezani Uwerenge mfundo chifukwa mu kuwerengetsera m'mbuyomo, manambala analandira mu ndime yachitatu, ife kutenga mtengo negative.

Mosavuta amathera kupeza determinant dongosolo 4 ndi miyeso apamwamba, m'pofunika kuganizira katundu wogwidwa ndi determinants zonse:

1. Mtengo wa determinant si anasintha pambuyo transposition a masanjidwewo lapansi.
2. Yachilendo zoyandikana mzere kapena ndime kumabweretsa kusintha chizindikiro cha determinant lapansi.
3. Ngati masanjidwewo ali mizere iwiri ofanana kapena mizati, kapena onse miyambo ya ndime (mizere) ziro, determinant ake ndi ziro.
4. Chulutsa ya masanjidwewo kwa aliyense kumabweretsa makulidwe a determinant ake mu nambalayi a nthawi.

Ntchito katundu pamwamba zikhale zosavuta kuchita khama wa determinant ya masanjidwewo dongosolo umasinthasintha. Mwachitsanzo, pogwiritsa ntchito njira kuti kuchepetsa zomwe kuwonongeka kwa mzere determinant mchitidwe (ndime) kuchulukitsa ndi cofactor lapansi.

Njira ina imene kwambiri zimatithandiza kupeza determinant masanjidwewo, ndi kubweretsa izo kwa mawonekedwe triangular, pamene zinthu zonse pansi pa opendekera chachikulu ndi ziro. Pankhaniyi, determinant ndi kuchita masamu kuti tinachita chiwerengero pabwino pa izi opendekera.

Ndipo potsiriza Ndikufuna kudziwa kuti mawerengedwe a determinants, ngakhale kuti imakhala kuwerengetsera yooneka ngati yosavuta masamu Komabe, pamafunika chisamaliro yambiri ndi khama.