Chiziqli operatorlar va ularning xossalari

Journal: Science and Education (Vol.2, No. 8)

Publication Date: 2021-08-25

Authors : Maxsud Tulqin o‘g'li Usmonov;

Page : 133-145

Keywords : Operator; chiziqli operator; operatorning matritsasi; operatorning rangi; nol operator; birlik operator; matritsaning xos vektori; matritsaning xos qiymati; xarakteristik tenglama; chiziqli operator matritsasining diagonal shakli;

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Abstract

Chiziqli algebra va funksional analiz fanlarining asosiy tushunchalaridan biri bu chiziqli operator tushunchasidir. Shu sababli ham chiziqli operatorlarlarni, ular aniqlangan chiziqli fazo va evklid fazolarini hamda bu fazolarda berilgan operatorlarlarni muhim xossalari va tatbiqlarini o`rganish juda muhim. Masalan, algebra fanidagi chiziqli almashtirishni, matematik fizika tenglamalari fanida differensiallashni operator sifatida qarash mumkin shuning uchun ham operator xossalarini o`rganish matematika fani nuqtayi nazaridan juda dolzarb masaladir.

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Chiziqli operatorlar va ularning xossalari

Abstract

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