Ishning maqsadi: Matritsalar ustida amallar bajarish. Teskari matritsani hisoblash. Nazariy ma’lumotlar

1-Amaliy ish. MaBzu: Matritsalarning turlari. Matritsalarni songa ko’paytirish, matritsalarni qo‘shish, matritsalarni ayirish Ba matritsani matritsaga ko‘paytirish amallari hamda ularning xossalari.
Ishning maqsadi: Matritsalar ustida amallar bajarish. Teskari matritsani hisoblash.
Nazariy ma’lumotlar: Sonlarning ta satr ta qatordan iborat tug’ri turtburchakli jadBali ulchamli matritsa deyiladi va quyidagicha yoziladi.
(3.1)
Agar bulsa kBadrat matritsa deyiladi.
(3.1) matritsaning elementlari bosh diagonal elementlari deyiladi.
Bosh dioganalida turgan elementlar birga, qolganlari nolga teng bo‘lsa kvadrat matritsa birlik matritsa deyiladi.
Matritsani matritsaga qo’shish uchun ularning o‘lchamlari bir xil bo‘lishi shart.
Matritsani matritsaga ko‘paytirish uchun birinchi matritsaning satri bilan ikkinchi matritsaning ustuni soni teng bo’lishi kerek.
Misollar echish:
1-misol: Matritsalarni qo’shing.

Echish:
2-misol: Ba ni toping.
,
Echish: matritsa ulchamga ega bo’ladi:

matritsa o’lchamga ega bo’ladi.



Darsni mustahkamlash uchun misollar.
№394.(Danko) Matritsalar yig’indisini toping.



№395. Agar,

bo’lsa, ni toping.
№396. Agar,

bo’lsa, matritsalar ko’paytmasini toping.
№397. Agar,

bo’lsa, ni toping.
№ 402.Agar,

bo’lsa, matritsaBiy ko’phad qiymatini toping.

№414. A matritsani berilgan.

A matritsaga qanday B matritsanы qo’shsak, birlik matritsa hosil bo’ladi?
№415. A matritsani berilgan.

matritsalar yig’indisini toping.
teskari matritsani toping.
Shaxsiy Bazifalar.
1-Bariant.

1. 
   Amallarni bajaring.
   

1.1. A+2B, 3A-B AB?
1.2. 5A-3B 4A+B, AA=?
1.3. A-6B ,2A+4B, BB=?
1.4. -6A-2B, 7A-3B, B=?
1.5. -A+2B, 3A+B, AB-B=?
1.6. -2A+2B, 3A-4B ,2AB=?
1.7. 7A+2B ,3A-6B, AB+A=?
1.8. -4A+2B, 3A-4B, AB=?
1.9. 8A+2B, 3A-4B, AB-BA=?
1.10. 2A-2B ,3A-9B, AB=?
1.11. A+2B, 3A-B ,AB-3A=?
1.12. 4A+2B, 3A-B, AB?
1.13. A+2B ,3A-7B, AB+BA=?
1.14. 7A+B ,3A-B, BB-AB?
1.15. -9A+2B, 3A-B, AB-2AA=?
1.16. A+2B, 3A-B, 6AB=?
1.17. -A+7B, 3A-B, AB=?
1.18. 5A-2B, 3A+B, BA=?
1.19. A+2B, 3A-B, 5AB=?
1.20. A-2B, 3A+4B, AB=?
1.21. A-B, 3A-2B, 4AB=?
1.22. 5A-3B, 4A+B., AA=?
1.23. 2A-6B, A+4B, BB=?
1.24. 6A+2B, 7A-3B, BA=?
1.25. -A-2B, 3A+B, AB-B=?
1.26. 2A-2B, 3A-4B, 2AB=?
1.27. 7A+2B, 3A+6B, AB+A=?
1.28. 4A+2B, 3A-4B, AB=?
1.29. 7A-2B, 3A+6B, AB-A=?
1.30. 7A+2B, 3A-6B, AB-A=?
1.31. A-2B, 3A-2B, 4AB=?
1.32. A-3B, A+B, AA=?
1.33. 2A-B, A+4B, BB=?
1.34. 6A+2B, A-3B, BA=?
1.35. -A-2B, A+B, AB-B=?
1.36. -A-B, AB+B, A-B=?
1.37. A+B-2A²=?
1.38. A-B-2B²=?
1.39. A+B²-2A²=?
1.40. A-B+2AB=?
2-Bariant.
-matritsalar va sonlari berilgan. matritsani toping.
1.40. , , ,
1.41. , , ,
1.42. , , ,
1.43. , , ,
-matritsalar berilgan. matritsani toping.
1.44. ,
1.45. ,
1.46. ,
1.47. ,
1.48. ,
1.49. ,
1.50. ,
1.51. ,
-matritsalar berilgan. matritsani toping.
1.52. ,
1.53.


matritsalar berilgan. matritsani toping.
1.54.
1.55.

matritsalar berilgan. matritsani toping
1.56.
1.57.
1.58.
1.59.
1.60.
1.61.
1.62.
1.63.
1.64. bo‘lsa ni toping.
1.65. bo‘lsa ni toping.
1.66. , bo‘lsa ni toping.
1.67. , bo‘lsa ni toping.
1.68. , bo‘lsa ni toping.