7-dars Mustaqil yechish uchun misol va masalalar 1-misol
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Mustaqil yechish uchun misol va masalalar e5571dd1ee6c358cbd20fa5691580cfc
7-dars Mustaqil yechish uchun misol va masalalar 1-misol. 1) Аgar А= 1 2
3 4 , 𝐵 = 4 −4 0 1
2) Аgar А =
1 −1 0 2 1 1 3 −1 2
, В = А = −2 1 2 0 4 5 2 −3 7 bo’lsа, А+В, 3А , АВ, ВА larni toping.
2-msol.. Аmallarni bajaring. 1)
1 2 −2 1 3 −1 1 1 −2 3 5 −2
1 −2 4 2 3 2 3 1 4 ; 2) 2 1
4 2 1 −2 1 1 2 −3 1 1 2 −1 ;
3) 1 −3 3 −1 1 3
1 1 1 2 1 1 1 −2 ; 4) 1 −2 4 6 0 7 8 2 6 −3 ; 5)
1 2 8 3 4 ; 6) 2 −1 2 9 .
3-misol. ∀𝑛 ∈ 𝑁 uchun quyidagilarni toping. 1) 5 −4
6 −5
𝑛 ; 2) 2 −1 3 −2
𝑛 ; 3) 1 1 0 1
𝑛 ; 4)
𝑐𝑜𝑠𝜑 −𝑠𝑖𝑛𝜑 𝑠𝑖𝑛𝜑 𝑐𝑜𝑠𝜑
𝑛 ; 5) 2 1 0 0 1 0
0 0 2
𝑛 . 4-misol. Аgar 𝛼 ∈ 𝑅 bo’lsa, lim 𝑛→∞
1 𝛼 𝑛 − 𝛼 𝑛 1
𝑛 = cos 𝛼 sin 𝛼 − sin 𝛼 cos 𝛼 tenglikni isbotlang. 5.5. 𝑓(𝐴) ni hisoblang: 1) 𝐴 = 1 −1 2 1 ; 𝑓 𝑥 = 𝑥 2 − 5𝑥 + 7 ; 2) 𝐴 =
1 −1 1 2 0 −2 3 3 3 ; 𝑓 𝑥 = 3𝑥 2 − 7𝑥 − 4 ; 3) 𝐴 =
−2 0 1 0 1 −2 1 −2 0 ; 𝑓 𝑥 = 𝑥 3 − 2𝑥 2 + 3𝑥 − 4 . 6-misol. 1) Аgar 𝐴 =
1 1 0 0 2 1
0 0 2 , 𝐼 = 1 0 0 0 1 0
0 0 1 bo’lsа, 𝐴 − 2 ∙ 𝐼 2 (𝐴 − 𝐼) ni toping. 2) Agar 𝐴 = −1 3 4 1
0 1 bo’lsа, 𝐴 2 − 12 ∙ 𝐼 ni toping. 1) Аgar 𝐴 = 0 1
0 1 , 𝐼 = 1 0 0 1 bo’lsа, 𝐴 2 − 𝐵
2 ni toping.
1)
(𝐴 + 𝐵) 2 = 𝐴 2 + 2𝐴𝐵 + 𝐵 2 ; 2) 𝐴 2 − 𝐵
2 = 𝐴 + 𝐵 (𝐴 − 𝐵) tengliklarni isbotlang. Download 462.67 Kb. Do'stlaringiz bilan baham: |
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