有限数学 示例

使用增广矩阵求解 x*1+2x*2+8x*3=2 , x*1+x*2+4x*3=1
,
解题步骤 1
Move variables to the left and constant terms to the right.
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解题步骤 1.1
化简每一项。
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解题步骤 1.1.1
乘以
解题步骤 1.1.2
乘以
解题步骤 1.1.3
乘以
解题步骤 1.2
相加。
解题步骤 1.3
相加。
解题步骤 1.4
化简每一项。
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解题步骤 1.4.1
乘以
解题步骤 1.4.2
移到 的左侧。
解题步骤 1.4.3
乘以
解题步骤 1.5
相加。
解题步骤 1.6
相加。
解题步骤 2
Write the system as a matrix.
解题步骤 3
求行简化阶梯形矩阵。
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解题步骤 3.1
Multiply each element of by to make the entry at a .
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解题步骤 3.1.1
Multiply each element of by to make the entry at a .
解题步骤 3.1.2
化简
解题步骤 3.2
Perform the row operation to make the entry at a .
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解题步骤 3.2.1
Perform the row operation to make the entry at a .
解题步骤 3.2.2
化简
解题步骤 3.3
Multiply each element of by to make the entry at a .
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解题步骤 3.3.1
Multiply each element of by to make the entry at a .
解题步骤 3.3.2
化简
解题步骤 3.4
Perform the row operation to make the entry at a .
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解题步骤 3.4.1
Perform the row operation to make the entry at a .
解题步骤 3.4.2
化简
解题步骤 4
Use the result matrix to declare the final solution to the system of equations.
解题步骤 5
The system is inconsistent so there is no solution.