Sida loo sameeyo helo ahayn tilmaame ee maxalka furta?

Helitaanka ahayn tilmaame ee maxalka furta oo muhiim ah ma aha oo kaliya in tallaabo ee aljabra toosan, waayo, tusaale ahaan, dhaqaalaha la isticmaalayo xisaabinta nidaamka xalin this isleegyo la dahsoon badan hubkaas ayaa loo isticmaalaa in dhibaatada dhaqaale.

Fikradda ah ahayn tilmaame ah

ahayn tilmaame ahayn tilmaame ama furta oo waxaa lagu magacaabaa tiro isla'eg mugga parallelepiped dhisay on fallaadhaha ay isku xigta ama tiirar. Xisaabi qiimaha this kaliya ee shax square taas oo tirada saf oo tiirar la mid ah. Haddii xubnaha furta - tirada, tirada jiri doonaa, oo lagu dejiyo.

Xisaabinta lagu dejiyo

Maskaxda ku hay in ay jiraan qaar ka mid ah xeerarka in si weyn loo fududeeyo karaa xisaabinta sida.

Tan iyo markii ahayn tilmaame ee maxalka furta oo ka kooban hal xubin, waa hal element a. Xisaabi ahayn tilmaame ee derejada labaad ma aha wax adag, waa ku filan tahay ee alaabta ka mid ah xubnaha dadab qaataan wax soo saarka ah ee xubno ka takhalusin ku dadab sare.

Xisaabinta ahayn tilmaame 3 ku saabsan habka ugu fudud ee ay u fuliyaan on xukunka saddexagalka. Si arrintan loo sameeyo, u qabtaan tallaabooyinka soo socda:

1. Waxaan ka heli wax soo saarka saddex matrices xubnaha ku yaal ay ugu weyn dadab.
2. Tarma by saddex xubnood oo ku jira saddex xagalo ah, saldhigyadii kuwaas oo isku midka ah in ay dadab ugu weyn.
3. Ku celi ugu horeysay oo talaabo labaad u dadab sare.
4. Raadi wadarta qiimaha taasoo keentay in ay xisaabaha hore, tiro ka helay in cutubka saddexaad, waxaan qaadi qiimo negative.

Si aad si fudud u qaataan helo ahayn tilmaame amarka 4 iyo dhinacyada sare, waxaa lagama maarmaan ah in la tixgeliyo guryaha yeelan lahayd oo dhan lagu dejiyo:

1. Qiimaha ahayn tilmaame ah innaba ma beddelmin ka dib markii transposition ee maxalka furta.
2. Beddelashada laba isku xigta ku xiga ama column keenaysaa in isbeddel ku calaamada ahayn tilmaame ah.
3. Haddii furta oo uu leeyahay laba saf siman ama tiirar, ama dhammaan waxyaalaha aasaaska ah ee khaanadda (lines) eber, ay ahayn tilmaame waa eber.
4. Isku dhufashada ee maxalka furta oo ay tirada kasta oo keenta in la kordhiyo ay ahayn tilmaame in tiro la mid ah jeer.

Isticmaalka hantida kor ku xusan waa wax fudud si ay u fuliyaan go'aanka ahayn tilmaame ee maxalka furta oo ka mid ah si aan loo aabo yeelin. Tusaale ahaan, iyadoo la isticmaalayo habka si ay hoos u dhacday oo kala daatay ee safka element ahayn tilmaame (column) by cofactor waa tarmay.

Hab kale oo si weyn nayaa helo ahayn tilmaame ah furta, waa in ay ku ridi doonaa foom saddex xagal, marka dhammaan waxyaabaha ku hoos dadab ugu weyn waa eber. Xaaladdan oo kale, ahayn tilmaame ah waxaa loo xisaabiyaa sida soo saarka ee tirooyinka u taagan on this dadab.

Ugu dambayntiina waxaan jeclaan lahaa in la ogaado in xisaabinta of dejiyo, inkastoo ay kooban yahay xisaabta muuqda oo fudud, si kastaba ha ahaatee, waxay u baahan tahay daryeel badan iyo dadaal.