有限数学 示例

Solve Using a Matrix by Elimination x-y+4z+w=-1.3 , -2x-5y-16z-8w=7.6 , 4x-y+12z=-1 , 3x-2y+7z+6w=-6.7
, , ,
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
移动
解题步骤 1.3
重新排序。
解题步骤 1.4
移动
解题步骤 1.5
移动
解题步骤 1.6
重新排序。
解题步骤 1.7
移动
解题步骤 1.8
移动
解题步骤 1.9
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
Perform the row operation to make the entry at a .
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解题步骤 3.1.1
Perform the row operation 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 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
Multiply each element of by to make the entry at a .
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解题步骤 3.6.1
Multiply each element of by to make the entry at a .
解题步骤 3.6.2
化简
解题步骤 3.7
Perform the row operation to make the entry at a .
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解题步骤 3.7.1
Perform the row operation to make the entry at a .
解题步骤 3.7.2
化简
解题步骤 3.8
Multiply each element of by to make the entry at a .
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解题步骤 3.8.1
Multiply each element of by to make the entry at a .
解题步骤 3.8.2
化简
解题步骤 3.9
Perform the row operation to make the entry at a .
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解题步骤 3.9.1
Perform the row operation 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.