线性代数示例

$[\begin{array}{c} 1 & - 5 & - 6 & - 1 \\ - 4 & 13 & 10 & - 3 \end{array}]$

解题步骤 1

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

点击获取更多步骤...

解题步骤 1.1

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

$[\begin{array}{c} 1 & - 5 & - 6 & - 1 \\ - 4 + 4 \cdot 1 & 13 + 4 \cdot - 5 & 10 + 4 \cdot - 6 & - 3 + 4 \cdot - 1 \end{array}]$

解题步骤 1.2

化简 $R_{2}$ 。

$[\begin{array}{c} 1 & - 5 & - 6 & - 1 \\ 0 & - 7 & - 14 & - 7 \end{array}]$

解题步骤 2

Multiply each element of $R_{2}$ by $- \frac{1}{7}$ to make the entry at $2, 2$ a $1$ .

点击获取更多步骤...

解题步骤 2.1

Multiply each element of $R_{2}$ by $- \frac{1}{7}$ to make the entry at $2, 2$ a $1$ .

$[\begin{array}{c} 1 & - 5 & - 6 & - 1 \\ - \frac{1}{7} \cdot 0 & - \frac{1}{7} \cdot - 7 & - \frac{1}{7} \cdot - 14 & - \frac{1}{7} \cdot - 7 \end{array}]$

解题步骤 2.2

化简 $R_{2}$ 。

$[\begin{array}{c} 1 & - 5 & - 6 & - 1 \\ 0 & 1 & 2 & 1 \end{array}]$

解题步骤 3

Perform the row operation $R_{1} = R_{1} + 5 R_{2}$ to make the entry at $1, 2$ a $0$ .

点击获取更多步骤...

解题步骤 3.1

Perform the row operation $R_{1} = R_{1} + 5 R_{2}$ to make the entry at $1, 2$ a $0$ .

$[\begin{array}{c} 1 + 5 \cdot 0 & - 5 + 5 \cdot 1 & - 6 + 5 \cdot 2 & - 1 + 5 \cdot 1 \\ 0 & 1 & 2 & 1 \end{array}]$

解题步骤 3.2

化简 $R_{1}$ 。

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

线性代数 示例

线性代数示例