Matritsani diagonallashtirishda minimal ko’phaddan foydalanishning nazariy va metodik asoslari

Sadaddinova, Sanobar Sabirovna, Raximova, Feruza Saidovna, Payziyeva, Munira Tairovna, Iskandarova, Dilafruz Sharofaddin qizi, Kurbanmuratova, Og'ulzoda Semender gizi, Kurashova, Muborak Chorshanbiyevna

Қўқон ДПИ. Илмий хабарлар · 2026-yil

Annotatsiya

Ushbu maqolada kvadrat matritsalarni diagonal shaklga keltirishda minimal ko‘phaddan foydalanishning nazariy va metodik asoslari tadqiq etilgan. Xarakteristik va minimal ko‘phadlar o’rtasidagi bog‘liqlik, Keli–Gamilton teoremasi hamda minimal ko‘phadning matritsani diagonallashuvchanligini aniqlashdagi roli yoritilgan. Minimal ko‘phadning karrali bo’lmagan chiziqli ko’paytuvchilarga ajralishi matritsaning diagonallashuvchanligi uchun zarur va yetarli shart sifatida asoslangan. Ushbu mezon asosida matritsani diagonallashtirish algoritmi taklif etilgan va turli holatlarni ifodalovchi misollar orqali tahlil qilingan. Minimal ko‘phadni aniqlashning diagonallashtirishdan oldingi bosqichga kiritish talabalarda matritsaning spectral xossalarini tizimli tushunish va hisoblash jarayonini qisqartirish imkonini berishi ko’rsatilgan.

Maqola ma’lumotlari
MualliflarSadaddinova, Sanobar Sabirovna, Raximova, Feruza Saidovna, Payziyeva, Munira Tairovna, Iskandarova, Dilafruz Sharofaddin qizi, Kurbanmuratova, Og'ulzoda Semender gizi, Kurashova, Muborak Chorshanbiyevna
JurnalҚўқон ДПИ. Илмий хабарлар
NashriyotҚўқон давлат педагогика институти
ISSN3030-3958
Nashr sanasi2026-10-11
Jild8
Son09
Betlar613-621
TilO‘zbek
Ilmiy sohaPedagogika
DOI10.70728/c.series.ped.v08.i09.083
Indeksga qo‘shilgan2026-10-11

Kalit so‘zlar

matritsa, diagonallashtirish, diagonal matritsa, minimal ko‘phad, xarakteristik ko‘phad, xos qiymat, xos vektor, algebraik karralilik, geometrik karralilik, xos fazo, Keli–Gamilton teoremasi, Jordan shakli, chiziqli algebra.

Ilmiy soha

Iqtibos keltirish

APASadaddinova, Sanobar Sabirovna, Raximova, Feruza Saidovna, Payziyeva, Munira Tairovna, Iskandarova, Dilafruz Sharofaddin qizi, Kurbanmuratova, Og'ulzoda Semender gizi, & Kurashova, Muborak Chorshanbiyevna (2026). MATRITSANI DIAGONALLASHTIRISHDA MINIMAL KO’PHADDAN FOYDALANISHNING NAZARIY VA METODIK ASOSLARI. Қўқон ДПИ. Илмий хабарлар, 8(09), 613-621. https://doi.org/10.70728/c.series.ped.v08.i09.083
GOST (OAK)Sadaddinova, Sanobar Sabirovna va b. MATRITSANI DIAGONALLASHTIRISHDA MINIMAL KO’PHADDAN FOYDALANISHNING NAZARIY VA METODIK ASOSLARI // Қўқон ДПИ. Илмий хабарлар. – 2026. – T. 8, № 09. – B. 613-621. – DOI: 10.70728/c.series.ped.v08.i09.083.
MLASadaddinova, Sanobar Sabirovna, Raximova, Feruza Saidovna, Payziyeva, Munira Tairovna, Iskandarova, Dilafruz Sharofaddin qizi, Kurbanmuratova, Og'ulzoda Semender gizi, and Kurashova, Muborak Chorshanbiyevna. “MATRITSANI DIAGONALLASHTIRISHDA MINIMAL KO’PHADDAN FOYDALANISHNING NAZARIY VA METODIK ASOSLARI.” Қўқон ДПИ. Илмий хабарлар, 8(09), 613-621, 2026. https://doi.org/10.70728/c.series.ped.v08.i09.083
ChicagoSadaddinova, Sanobar Sabirovna, Raximova, Feruza Saidovna, Payziyeva, Munira Tairovna, Iskandarova, Dilafruz Sharofaddin qizi, Kurbanmuratova, Og'ulzoda Semender gizi, and Kurashova, Muborak Chorshanbiyevna. “MATRITSANI DIAGONALLASHTIRISHDA MINIMAL KO’PHADDAN FOYDALANISHNING NAZARIY VA METODIK ASOSLARI.” Қўқон ДПИ. Илмий хабарлар, 8(09), 613-621 (2026). https://doi.org/10.70728/c.series.ped.v08.i09.083
HarvardSadaddinova, Sanobar Sabirovna, Raximova, Feruza Saidovna, Payziyeva, Munira Tairovna, Iskandarova, Dilafruz Sharofaddin qizi, Kurbanmuratova, Og'ulzoda Semender gizi, and Kurashova, Muborak Chorshanbiyevna (2026) ‘MATRITSANI DIAGONALLASHTIRISHDA MINIMAL KO’PHADDAN FOYDALANISHNING NAZARIY VA METODIK ASOSLARI’, Қўқон ДПИ. Илмий хабарлар, 8(09), 613-621. https://doi.org/10.70728/c.series.ped.v08.i09.083
BibTeX
@article{sadaddinovasanobarsabirovna2026,
  title = {MATRITSANI DIAGONALLASHTIRISHDA MINIMAL KO’PHADDAN FOYDALANISHNING NAZARIY VA METODIK ASOSLARI},
  author = {Sadaddinova, Sanobar Sabirovna and Raximova, Feruza Saidovna and Payziyeva, Munira Tairovna and Iskandarova, Dilafruz Sharofaddin qizi and Kurbanmuratova, Og'ulzoda Semender gizi and Kurashova, Muborak Chorshanbiyevna},
  journal = {Қўқон ДПИ. Илмий хабарлар},
  year = {2026},
  volume = {8},
  number = {09},
  pages = {613-621},
  doi = {10.70728/c.series.ped.v08.i09.083},
  url = {https://doi.org/10.70728/c.series.ped.v08.i09.083}
}

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