Монгол Бодлогын Сан

Заавар: Үржих үйлдлийн тодорхойлолт болон хоёр матриц тэнцэх нөхцөлөөс $$\left\{\begin{aligned} a_{11}x+a_{12}y+a_{13}z&=b_1\\ a_{21}x+a_{22}y+a_{23}z&=b_2\\ a_{31}x+a_{32}y+a_{33}z&=b_3 \end{aligned}\right.\Leftrightarrow\begin{pmatrix} a_{11} & a_{12} & a_{13}\\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33} \end{pmatrix} \begin{pmatrix} x\\ y\\ z \end{pmatrix}=\begin{pmatrix} b_1\\ b_2\\ b_3 \end{pmatrix}$$ байна.

Бодолт: Заавар ёсоор $$\left\{\begin{aligned} x+3y+\phantom{2}z&=5\\ x+2y-\phantom{2}z&=1\\ 2x-\phantom{2}y+2z&=2 \end{aligned}\right.\Leftrightarrow\left\{\begin{aligned} 1x+\phantom{(-)}3y+\phantom{(-)}1z&=5\\ 1x+\phantom{(-)}2y+(-2)z&=1\\ 2x+(-1)y+\phantom{(-)}2z&=2 \end{aligned}\right.\Leftrightarrow\begin{pmatrix} 1 & \phantom{-}3 & \phantom{-}1\\ 1 & \phantom{-}2 & -1\\ 2 & -1 & \phantom{-}2 \end{pmatrix} \begin{pmatrix} x\\ y\\ z \end{pmatrix}=\begin{pmatrix} 5\\ 1\\ 2 \end{pmatrix}$$ байна.