| 单词 | augmented matrix |
| 释义 | > as lemmasaugmented matrix augmented matrix n. Mathematics a matrix formed by appending one or more column vectors to another matrix; esp. such a matrix formed from the coefficient matrix of a system of linear equations and the vector whose entries are the values to which those equations are equal. ΚΠ 1861 H. J. S. Smith in Philos. Trans. (Royal Soc.) 151 294 If to this matrix we add an additional vertical column, composed of the absolute terms of the equations, the resulting matrix we shall term..the augmented matrix of the system. 1944 Proc. National Acad. Sci. U.S.A. 30 94 Consistency of (10) demands that the rank of the augmented matrices must be one. 2013 K. Turyn Adv. Engin. Math. ii. 150 Because R is upper triangular and invertible, we can solve the augmented matrix..by back substitution. < as lemmas |
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