有限数学 示例

Solve Using a Matrix by Elimination 3x-6y+9z=12 , -x+2y-3z=-4 , x+y+2z=7
, ,
解题步骤 1
Write the system as a matrix.
解题步骤 2
求行简化阶梯形矩阵。
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解题步骤 2.1
Multiply each element of by to make the entry at a .
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解题步骤 2.1.1
Multiply each element of by to make the entry at a .
解题步骤 2.1.2
化简
解题步骤 2.2
Perform the row operation to make the entry at a .
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解题步骤 2.2.1
Perform the row operation to make the entry at a .
解题步骤 2.2.2
化简
解题步骤 2.3
Perform the row operation to make the entry at a .
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解题步骤 2.3.1
Perform the row operation to make the entry at a .
解题步骤 2.3.2
化简
解题步骤 2.4
Swap with to put a nonzero entry at .
解题步骤 2.5
Multiply each element of by to make the entry at a .
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解题步骤 2.5.1
Multiply each element of by to make the entry at a .
解题步骤 2.5.2
化简
解题步骤 2.6
Perform the row operation to make the entry at a .
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解题步骤 2.6.1
Perform the row operation to make the entry at a .
解题步骤 2.6.2
化简
解题步骤 3
Use the result matrix to declare the final solution to the system of equations.
解题步骤 4
The solution is the set of ordered pairs that make the system true.