线性代数 示例

表示为向量等式 y=-2x+8 , y=-2x-4 , 6x+3y=6
, ,
解题步骤 1
在等式两边都加上
解题步骤 2
在等式两边都加上
解题步骤 3
以矩阵形式书写方程组。
解题步骤 4
求行简化阶梯形矩阵。
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解题步骤 4.1
Multiply each element of by to make the entry at a .
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解题步骤 4.1.1
Multiply each element of by to make the entry at a .
解题步骤 4.1.2
化简
解题步骤 4.2
Perform the row operation to make the entry at a .
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解题步骤 4.2.1
Perform the row operation to make the entry at a .
解题步骤 4.2.2
化简
解题步骤 4.3
Perform the row operation to make the entry at a .
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解题步骤 4.3.1
Perform the row operation to make the entry at a .
解题步骤 4.3.2
化简
解题步骤 4.4
Multiply each element of by to make the entry at a .
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解题步骤 4.4.1
Multiply each element of by to make the entry at a .
解题步骤 4.4.2
化简
解题步骤 4.5
Perform the row operation to make the entry at a .
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解题步骤 4.5.1
Perform the row operation to make the entry at a .
解题步骤 4.5.2
化简
解题步骤 4.6
Perform the row operation to make the entry at a .
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解题步骤 4.6.1
Perform the row operation to make the entry at a .
解题步骤 4.6.2
化简
解题步骤 5
使用结果矩阵定义方程组的最终解。
解题步骤 6
从等式两边同时减去
解题步骤 7
因为 ,所以没有解。
无解