7.4-bo'lim : Kengaytirilgan matritsa haqida ko'proq

Quyidagi tenglamalar tizimlarining har biri uchun tizimni kengaytirilgan matritsaga aylantiring va tizimning yechimini aniqlash yoki tizimning nomuvofiq yoki bog'liqligini aniqlash uchun kengaytirilgan matritsa usullaridan foydalaning.

1. \(\begin{align*}8x + y & = 13\\ 3x + 4y & = - 6\end{align*}\)
2. \(\begin{align*}x - 3y & = 7\\ - 2x + 6y & = 4\end{align*}\)
3. \(\begin{align*} - 12x + 6y & = - 12\\ 4x + 2y & = - 2\end{align*}\)
4. \(\begin{align*}3x + 6y & = 12\\ - 4x - 7y & = - 12\end{align*}\)
5. \(\begin{align*}12x - 6y & = 18\\ 4x - 2y & = 6\end{align*}\)
6. \(\begin{align*} - 5x + 10y & = 1\\ x - 2y & = - 8\end{align*}\)
7. \(\begin{align*}7x + 6y & = 0\\ 2x + 3y & = 0\end{align*}\)
8. \(\begin{align*} - 8x + 24y & = 12\\ 10x - 30y & = - 15\end{align*}\)
9. \(\begin{align*} - 2x + 3y & = 24\\ 3x - 8y & = - 57\end{align*}\)
10. \(\begin{align*}6x + 4y & = - 20\\ 7x + 3y & = - 35\end{align*}\)
11. \(\begin{align*} - 3x + 7y + 2z & = - 8\\ - 2x + 5y - z & = - 10\\ 8x - 2y + 3z & = 38\end{align*}\)
12. \(\begin{align*}6x + 4y - 8z & = - 56\\ - x - 4y + z & = 5\\ 3x + y + 9z & = 10\end{align*}\)
13. \(\begin{align*}2x + 6y - z & = 1\\ - x + 2y + 9z & = - 19\\ 4x + 3y - 7z & = 25\end{align*}\)