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增广矩阵是在线性代数中系数矩阵的右边添上线性方程组等号右边的常数列得到的矩阵, 如:方程AX=b 系数矩阵为A,它的增广矩阵为(A b)。方程组唯一确定增广矩阵,通过增广矩阵的初等行变换可用于判断对应线性方程组是否有解,以及化简求原方程组的解。
In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.
Given the matrices A and B, where
the augmented matrix (A|B) is written as
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