Category A.xlsx - Category A code.pdf
102.3 KB
📊 OMOUS-2024 olimpiadasining umumiy natijalari!
👍6👏1
Darajasi n ga teng bo'lgan haqiqiy koeffitsiyentli P(x)>0 (x€R) ko'phad berilgan. Isbotlang: P(x)+P'(x)+P''(x)+...+Pⁿ(x)>0 ixtiyoriy x€R uchun.
@MathOliy1
@MathOliy1
👍5🤔1
#Savol #Algebra
R halqada x∈R uchun x⁶=x tenglik o'rinli bo'lsa, R kommutativ halqa ekanligini isbotlang.
Let R be a ring such that x⁶=x for all x∈R. Prove that R is commutative.
@MathOliy1
R halqada x∈R uchun x⁶=x tenglik o'rinli bo'lsa, R kommutativ halqa ekanligini isbotlang.
Let R be a ring such that x⁶=x for all x∈R. Prove that R is commutative.
@MathOliy1
👍2🤔2❤1👏1
#Savol #Chiziqli_algebra
A,B∈M n×n (R) matritsalar uchun A²=A, B²=B va det(A+3B)=0 tengliklar o'rinli bo'lsa, det(3A+B) ni toping.
Let A,B∈M n×n (R) be two matrices such that A²=A, B²=B and det(A+3B)=0. Find det(3A+B).
@MathOliy1
A,B∈M n×n (R) matritsalar uchun A²=A, B²=B va det(A+3B)=0 tengliklar o'rinli bo'lsa, det(3A+B) ni toping.
Let A,B∈M n×n (R) be two matrices such that A²=A, B²=B and det(A+3B)=0. Find det(3A+B).
@MathOliy1
👍5👏1
#Savol #Sonlar_nazariyasi
Har bir n natural son uchun 2021ⁿ soni ikki natural sonlarning kvadratlari farqi(ayirmasi) sifatida ifodalanishini ko'rsating.
Show that 2021ⁿ can be expressed as difference of two squares of natural numbers for every positive integer n (i.e. n=1,2,...).
@MathOliy1
Har bir n natural son uchun 2021ⁿ soni ikki natural sonlarning kvadratlari farqi(ayirmasi) sifatida ifodalanishini ko'rsating.
Show that 2021ⁿ can be expressed as difference of two squares of natural numbers for every positive integer n (i.e. n=1,2,...).
@MathOliy1
👍5🤯1
Karim Raximov
Ilm qilish va tanlov haqida!!! @karimraximov
Ilm qilish va tanlov haqida ajoyib suhbat va maslahatlar.
🔥5