Subjects linear algebra

Matritsa Amallari Aa2A10

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1. Muammo: Quyidagi matritsalar ustida chiziqli amallarni bajarish. 2. Chiziqli amallar - bu matritsalar ustida bajariladigan qo'shish va skalyar ko'paytirish amallari. 3. Agar matritsalar $A$ va $B$ berilgan bo'lsa, ularning yig'indisi $A + B$ har bir element bo'yicha qo'shish orqali topiladi. 4. Skalyar ko'paytirish uchun matritsadagi har bir elementni berilgan skalyar qiymat bilan ko'paytiramiz. 5. Misol uchun, agar $A = \begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix}$ va $B = \begin{bmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{bmatrix}$ bo'lsa, unda $$A + B = \begin{bmatrix} a_{11} + b_{11} & a_{12} + b_{12} \\ a_{21} + b_{21} & a_{22} + b_{22} \end{bmatrix}$$ 6. Agar skalyar $k$ bo'lsa, skalyar ko'paytirish: $$kA = \begin{bmatrix} k a_{11} & k a_{12} \\ k a_{21} & k a_{22} \end{bmatrix}$$ 7. Agar siz aniq matritsalarni bersangiz, ularni shu qoidalar asosida hisoblab beraman.