有限数学 示例

使用增广矩阵求解 4a+4y-4Z=24 , 2a-y+Z=-9 , a-2y+3Z=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
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
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
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 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.