5-amaliy mashg`ulot: Chiziqli tenglamalar sistemasini matritsaviy usulda, Kramer qoidasi va Gauss (noma’lumlarni ketma-ket yo`qotish) usuli yordamida yechish. Ishni bаjаrish uchun nаmunа Misоl

5-amaliy mashg`ulot: Chiziqli tenglamalar sistemasini matritsaviy usulda, Kramer qoidasi va Gauss (noma’lumlarni ketma-ket yo`qotish) usuli yordamida yechish.

Ishni bаjаrish uchun nаmunа

Misоl: Tenglamalar sistemasini yeching


Yechilishi.

Sunnday qilib, berilgan tenglamalar sistemasining yechimi .

2-Misol. Kramer formulasi yordamida yeching:

 





bo’lganligi uchun .

3-misol. sistema yechilsin.

Bu sistemada uchta tenglama beshta nomalum bulgandan, x₄ va x₅ larni o’ng tomonga olib utamiz.

Misol uchun, x₄ =2, x₅ =1 qiymatlarni qo’ysak

sistema hosil bo’ladi. x₂ =3 ekanini e’tiborga olsak,

sistemaga ega bulamiz. Birinchi tenglamani 2 ga kupaytirib,undan ikkinchi tenglamani ayirsak

hosil bo’ladi . Bundan x₃ =-³/₇, x₂ =3, x₁ =¹²/₇

Аmаliy tоpshiriqlаr

	Quyidagi tenglamalar sistemasini yeching va javobingizni grafikda tekshiring 1. , 2. , 3. 4. , 5. , 6.
	Quyidagi tenglamalar sistemasini Gauss usulida yeching 1. , 2. , 3. 4. 5. , 6. 7. 8. 9.
	Tenglamalar sistemalarini 1) Kramer formulasi 2) Matritsaviy 3) Gauss usullarida yeching.  4)  5)  7)  8) 

Аdаbiyotlаr ro’yхаti

1. 
   Stefan Waner, Steven R. Costenoble. Finite Mathematics and Applied Calculus. Brooks/Cole cengage learning. 2011.
   

Will H.Moore , David A. Siegel. A Mathematics Course for Political and Social Research. Princeton university press. 2013.