请输入您要查询的字词:

 

单词 Singular
释义

singular


1 Singular

An m×n matrix A with entries from a field is called singularPlanetmathPlanetmath if its rows or columns are linearly dependent. This is equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmath to the following conditions:

  1. 1.

    The nullityMathworldPlanetmath of A is greater than zero ( null(A)>0).

  2. 2.

    The homogeneousPlanetmathPlanetmathPlanetmathPlanetmath linear system A𝐱=0 has a non-trivial solution.

If m = n this is equivalent to the following conditions:

  1. 1.

    The determinantDlmfMathworldPlanetmath det(A)=0.

  2. 2.

    The rank of A is less than n.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 19:33:05