有限数学 示例

Solve Using a Matrix by Elimination x*1+3x*2-2x*3=5 , 2x*1-2x*2-x*3=-5 , x*1-5x*2+x*3=-10
, ,
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
合并 中相反的项。
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解题步骤 1.1.1
按照 重新排列因数。
解题步骤 1.1.2
中减去
解题步骤 1.1.3
相加。
解题步骤 1.2
乘以
解题步骤 1.3
化简每一项。
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解题步骤 1.3.1
乘以
解题步骤 1.3.2
乘以
解题步骤 1.3.3
乘以
解题步骤 1.4
中减去
解题步骤 1.5
中减去
解题步骤 1.6
化简每一项。
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解题步骤 1.6.1
乘以
解题步骤 1.6.2
乘以
解题步骤 1.6.3
移到 的左侧。
解题步骤 1.7
中减去
解题步骤 1.8
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
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 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.