RowReduce
 Usage
• RowReduce[m] 给出矩阵m的行约简形式.
Notes
• RowReduce进行Gaussian消去法,把行的倍数加在一起以尽可能生成0元素.最后矩阵化成梯状形式. • 如果 m 是一个非退化方阵, RowReduce[m] 即 IdentityMatrix[m]. • 如果 m 是一个具有  行和超过  行的充分非退化三角阵 , 则 RowReduce[m]的前  列将形成一个单位矩阵. • RowReduce 同时适合于数值矩阵和符号矩阵. • RowReduce[m, Modulus -> n] 以 n 为模进行行化简. • RowReduce[m, ZeroTest -> test] 计算 test[ m[[i, j]] ] 以确定矩阵元素是否为0。
 Further Examples
A non-singular matrix can be row-reduced to the identity matrix.
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For non-zero singular matrices, the last row reduces to zero and the last column cannot be zeroed (if not zero from the start).
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Out[2]//MatrixForm=
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You can use RowReduce to solve a system of linear equations. This gives the solution to the linear system {x + y - z  1, x + 2y + 5z 1, 2x + y + 3z -2}.
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Column 1 corresponds to the variable x, column 2 to the variable y and column 3 to the variable z. So the solution of the system is x =  , y =  , and z =  .
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