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Mathematics/Linear Algebra

row echelon form (ref), reduced row echelon form (rref)

336x280(권장), 300x250(권장), 250x250, 200x200 크기의 광고 코드만 넣을 수 있습니다.

\begin{alignat}{7} 2x &&\; + \;&& y             &&\; - \;&& z  &&\; = \;&& 8 & \qquad (L_1) \\ -3x &&\; - \;&& y             &&\; + \;&& 2z &&\; = \;&& -11 & \qquad (L_2) \\ -2x &&\; + \;&& y &&\; +\;&& 2z  &&\; = \;&& -3 &  \qquad (L_3) \end{alignat}


row echelon form (ref)

\left[ \begin{array}{ccc|c} 2 & 1 & -1 & 8 \\ 0 & \frac{1}{2} & \frac{1}{2} & 1 \\ 0 & 0 & -1 & 1 \end{array} \right]


reduced row echelon form (rref)

\left[ \begin{array}{ccc|c} 1 & 0 & 0 & 2 \\ 0 & 1 & 0 & 3 \\ 0 & 0 & 1 & -1 \end{array} \right]

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