有限数学示例

$[\begin{array}{c} 1 & 2 & 4 \\ 2 & 4 & - 8 \end{array}]$

解题步骤 1

Perform the row operation $R_{2} = R_{2} - 2 R_{1}$ to make the entry at $2, 1$ a $0$ .

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解题步骤 1.1

Perform the row operation $R_{2} = R_{2} - 2 R_{1}$ to make the entry at $2, 1$ a $0$ .

$[\begin{array}{c} 1 & 2 & 4 \\ 2 - 2 \cdot 1 & 4 - 2 \cdot 2 & - 8 - 2 \cdot 4 \end{array}]$

解题步骤 1.2

化简 $R_{2}$ 。

$[\begin{array}{c} 1 & 2 & 4 \\ 0 & 0 & - 16 \end{array}]$

解题步骤 2

Multiply each element of $R_{2}$ by $- \frac{1}{16}$ to make the entry at $2, 3$ a $1$ .

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解题步骤 2.1

Multiply each element of $R_{2}$ by $- \frac{1}{16}$ to make the entry at $2, 3$ a $1$ .

$[\begin{array}{c} 1 & 2 & 4 \\ - \frac{1}{16} \cdot 0 & - \frac{1}{16} \cdot 0 & - \frac{1}{16} \cdot - 16 \end{array}]$

解题步骤 2.2

化简 $R_{2}$ 。

$[\begin{array}{c} 1 & 2 & 4 \\ 0 & 0 & 1 \end{array}]$

解题步骤 3

Perform the row operation $R_{1} = R_{1} - 4 R_{2}$ to make the entry at $1, 3$ a $0$ .

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解题步骤 3.1

Perform the row operation $R_{1} = R_{1} - 4 R_{2}$ to make the entry at $1, 3$ a $0$ .

$[\begin{array}{c} 1 - 4 \cdot 0 & 2 - 4 \cdot 0 & 4 - 4 \cdot 1 \\ 0 & 0 & 1 \end{array}]$

解题步骤 3.2

化简 $R_{1}$ 。

$[\begin{array}{c} 1 & 2 & 0 \\ 0 & 0 & 1 \end{array}]$

有限数学 示例