Zamkatimu
M'buku lino, tiwona tanthauzo la udindo wa matrix, komanso njira zomwe zingapezeke. Tidzasanthulanso zitsanzo zosonyeza kugwiritsa ntchito chiphunzitsocho muzochita.
Kuzindikira udindo wa matrix
Matrix udindo ndi udindo wa dongosolo lake la mizere kapena mizati. Matrix aliwonse ali ndi mizere yake ndi mizere yake, yomwe ndi yofanana.
Row dongosolo udindo ndiye kuchuluka kwa mizere yodziyimira payokha. Ulamuliro wa dongosolo la magawo amatsimikiziridwa chimodzimodzi.
Ndemanga:
- Mulingo wa zero matrix (omwe akuwonetsedwa ndi chizindikiro "θ") kukula kulikonse ndi ziro.
- Mulingo wa vekitala ya mzere uliwonse wa nonzero kapena vekitala ndi yofanana ndi imodzi.
- Ngati masanjidwe amtundu uliwonse ali ndi chinthu chimodzi chomwe sichifanana ndi ziro, ndiye kuti udindo wake siwochepera chimodzi.
- Mulingo wa matrix siukulu kuposa gawo lake locheperako.
- Kusintha koyambira komwe kumachitika pa matrix sikusintha mawonekedwe ake.
Kupeza udindo wa matrix
Fringing Njira Yachidule
Udindo wa matrix ndi wofanana ndi dongosolo lapamwamba la nonzero.
Algorithm ili motere: Pezani ang'onoang'ono kuyambira otsika kwambiri mpaka apamwamba. Ngati zazing'ono ndongosolo silofanana ndi ziro, ndipo zonse zotsatila (n +1) ndi ofanana ndi 0, ndiye kuti udindo wa matrix ndi n.
Mwachitsanzo
Kuti timveke bwino, tiyeni titenge chitsanzo chothandiza ndikupeza udindo wa matrix A m'munsimu, pogwiritsa ntchito njira yodutsa ana.
Anakonza
Tikuchita ndi 4 × 4 matrix, choncho, udindo wake sungakhale wapamwamba kuposa 4. Komanso, pali zinthu zopanda zero mu matrix, zomwe zikutanthauza kuti udindo wake si wocheperapo. Ndiye tiyeni tiyambe:
1. Yambani kufufuza ang'ono a dongosolo lachiwiri. Poyamba, timatenga mizere iwiri ya mizati yoyamba ndi yachiwiri.
Zochepa ndizofanana ndi ziro.
Choncho, timapita ku chaching'ono chotsatira (gawo loyamba likukhalabe, ndipo m'malo mwachiwiri timatenga lachitatu).
Wamng'ono ndi 54≠0, kotero udindo wa matrix ndi awiri.
Zindikirani: Ngati wamng'ono uyu atakhala wofanana ndi ziro, tingayang'anenso zotsatirazi:
Ngati ndi kotheka, kuwerengera kumatha kupitilizidwa chimodzimodzi ndi zingwe:
- 1 ndi 3;
- 1 ndi 4;
- 2 ndi 3;
- 2 ndi 4;
- 3 ndi 4.
Ngati ana onse achiwiri anali ofanana ndi ziro, ndiye kuti chiwerengero cha matrix chikanakhala chofanana ndi chimodzi.
2. Tidakwanitsa nthawi yomweyo kupeza mwana yemwe akutikomera. Ndiye tiyeni tipitirire ang'ono a dongosolo lachitatu.
Kwa opeza ang'onoang'ono a dongosolo lachiwiri, lomwe linapereka zotsatira zosakhala ziro, timawonjezera mzere umodzi ndi mizati yomwe ili yobiriwira (tikuyamba kuchokera yachiwiri).
Wamng'ono adasanduka ziro.
Choncho, timasintha gawo lachiwiri kukhala lachinayi. Ndipo pakuyesera kwachiwiri, timatha kupeza wamng'ono yemwe sali wofanana ndi ziro, zomwe zikutanthauza kuti chiwerengero cha matrix sichingakhale chocheperapo 3.
Zindikirani: ngati zotsatira zake zidakhalanso zero, m'malo mwa mzere wachiwiri, titha kutenga wachinayi ndikupitilira kufunafuna "zabwino" zazing'ono.
3. Tsopano zikuyenera kudziwa ang'onoang'ono a dongosolo lachinayi kutengera zomwe zidapezeka kale. Pankhaniyi, ndi imodzi yomwe ikugwirizana ndi determinant ya matrix.
Zochepa ndizofanana ndi 144≠0. Izi zikutanthauza kuti udindo wa masanjidwewo A ndi 4.
Kuchepetsa matrix kukhala mawonekedwe opondapo
Mulingo wa matrix woyambira ndi wofanana ndi kuchuluka kwa mizere yake yopanda ziro. Ndiko kuti, zonse zomwe tiyenera kuchita ndikubweretsa matrix ku mawonekedwe oyenera, mwachitsanzo, pogwiritsa ntchito , zomwe, monga tafotokozera pamwambapa, sizisintha udindo wake.
Mwachitsanzo
Pezani udindo wa matrix B pansipa. Sititenga chitsanzo chovuta kwambiri, chifukwa cholinga chathu chachikulu ndikungowonetsa kagwiritsidwe ntchito ka njirayo.
Anakonza
1. Choyamba, chotsani kuwirikiza koyamba kuchokera pamzere wachiwiri.
2. Tsopano chotsani mzere woyamba kuchokera pa mzere wachitatu, kuchulukitsa ndi zinayi.
Chifukwa chake, tili ndi matrix omwe mizere yopanda ziro ndi yofanana ndi iwiri, chifukwa chake udindo wake ndi wofanana ndi 2.