有限数学 示例

使用增广矩阵求解 x+2y-w=-4 , 3x+6z+9w=60 , x+2y-z=4 , 3x-y+z+w=8
, , ,
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
移动
解题步骤 1.2
重新排序。
解题步骤 1.3
移动
解题步骤 1.4
重新排序。
解题步骤 1.5
移动
解题步骤 1.6
移动
解题步骤 1.7
重新排序。
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
Perform the row operation to make the entry at a .
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解题步骤 3.3.1
Perform the row operation to make the entry at a .
解题步骤 3.3.2
化简
解题步骤 3.4
Multiply each element of by to make the entry at a .
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解题步骤 3.4.1
Multiply each element of by to make the entry at a .
解题步骤 3.4.2
化简
解题步骤 3.5
Perform the row operation to make the entry at a .
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解题步骤 3.5.1
Perform the row operation to make the entry at a .
解题步骤 3.5.2
化简
解题步骤 3.6
Perform the row operation to make the entry at a .
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解题步骤 3.6.1
Perform the row operation to make the entry at a .
解题步骤 3.6.2
化简
解题步骤 3.7
Multiply each element of by to make the entry at a .
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解题步骤 3.7.1
Multiply each element of by to make the entry at a .
解题步骤 3.7.2
化简
解题步骤 3.8
Perform the row operation to make the entry at a .
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解题步骤 3.8.1
Perform the row operation to make the entry at a .
解题步骤 3.8.2
化简
解题步骤 3.9
Multiply each element of by to make the entry at a .
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解题步骤 3.9.1
Multiply each element of by to make the entry at a .
解题步骤 3.9.2
化简
解题步骤 3.10
Perform the row operation to make the entry at a .
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解题步骤 3.10.1
Perform the row operation to make the entry at a .
解题步骤 3.10.2
化简
解题步骤 3.11
Perform the row operation to make the entry at a .
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解题步骤 3.11.1
Perform the row operation to make the entry at a .
解题步骤 3.11.2
化简
解题步骤 3.12
Perform the row operation to make the entry at a .
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解题步骤 3.12.1
Perform the row operation to make the entry at a .
解题步骤 3.12.2
化简
解题步骤 3.13
Perform the row operation to make the entry at a .
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解题步骤 3.13.1
Perform the row operation to make the entry at a .
解题步骤 3.13.2
化简
解题步骤 3.14
Perform the row operation to make the entry at a .
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解题步骤 3.14.1
Perform the row operation to make the entry at a .
解题步骤 3.14.2
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 solution is the set of ordered pairs that make the system true.