Indlela yokwenza ngokufumana onefuthe ngayo isizalo?

Ukufumana onefuthe ngayo isizalo kubalulekile nje kuphela ngenxa yesenzo algebra yomgama: umzekelo, uqoqosho usebenzisa le ndlela yokubala nkqubo isonjululwe kwizibalo linear kunye angaziwa ezininzi ezisetyenziswa kakhulu iingxaki zoqoqosho.

Ingqiqo onefuthe

onefuthe onefuthe okanye isizalo kuthiwa isixa esilingana umthamo parallelepiped kwakhiwa kwi bezifo yayo umqolo okanye imiqolo. Bala eli xabiso kuphela matrix square apho inani lemiqolo kunye nemihlathi efanayo. Ukuba amalungu matrix - inombolo, inani uya kuba njengeyo-.

Ukubalwa njengeyo-

Khumbula ukuba kukho eminye imithetho esinokwenza lula kakhulu izibalo ezinje.

Ukususela onefuthe ngayo matrix equka ilungu elinye, yinto into enye. Bala onefuthe bolwesibini udidi Akukho nzima, kwanele imveliso amalungu oxwesileyo bethatha imveliso izinto ilahlwa kwi idiagonal eziziisekondari.

Yokubala onefuthe-3 malunga nendlela elula yokwenza kulawulo nxantathu. Ukuze wenze oku, yenze la manyathelo alandelayo:

1. Sifumana imveliso lweendlela ezintathu amalungu akhiwe kwi main yayo oxwesileyo.
2. Phinda-phinda ngamalungu amathathu abasendleleni oonxantathu, neziseko zazo eyayingqalene idiagonal engundoqo.
3. Phinda lokuqala kwaye intshukumo yesibini ukuya idiagonal ezizisekondari.
4. Fumana inani amanani kukhokelela izibalo ezidlulileyo, amanani afunyenwe kwi umhlathi wesithathu, sithatha engenaxabiso.

Ukuze ngokulula tirhisa ngokufumana onefuthe ucwangco 4 kunye nemilinganiselo ephakamileyo, kuyimfuneko ukuba siqwalasele iimpawu ophethwe zonke njengeyo-:

1. Ixabiso le onefuthe akawatshintshi emva kokuba transposition ye matrix.
2. Tshintshiselwano umqolo ezibekwe ngecala okanye umhlathi kukhokelela notshintsho umqondiso onefuthe.
3. Ukuba matrix une imiqolo emibini iyalingana okanye imiqolo, okanye zonke iziqalelo kwikholam (imigca) zero, onefuthe yayo ngu zero.
4. Ukuphinda-isizalo kuyo naliphi inani kukhokelela ukhulise onefuthe yayo inani elifanayo amaxesha.

Ukusebenzisa ezi mpawu zingasentla kwenza kube lula ukuphumeza nokuzimisela onefuthe ngayo matrix ucwangco ngokwesigqibo esicalanye. Umzekelo, ukusebenzisa indlela zokunciphisa ucwangco apho yokubola kumqolo onefuthe element (column) liphindaphindwe cofactor.

Enye indlela yokwenza lula kakhulu ekufumaneni onefuthe isizalo, woyizisa ukuba uhlobo olunxantathu, xa zonke izinto phantsi diagonal omkhulu zero. Kulo mzekelo, i onefuthe zibalwe imveliso amanani ezibekwe kule idiagonal.

Kwaye ekugqibeleni Ndingathanda ukuqaphela ukuba ukubalwa njengeyo-, nangona iquka izibalo ezibonakala elula izibalo, Noko ke, kufuna inkathalo enkulu nokuzingisa.