Linear Dependence/Independence 线性相关/无关 令y1(x),y2(x),···,yn(x) 为在区间 I 上定义的 n(n≥2) 个函数 线性无关,若方程 c1y1(x)+c2y2(x)+···+cnyn(x)=0 仅在c1=c2=···=cn=0 时成立 若不是线性无关那么就是线性相关 Wronskian of n functions n个函数的Wronskian 若p_...
lineardependence依赖性独立性unitlinearly Unit 20 Linear Dependence and Independence The idea of dimension is fairly intuitive. Consider any vector in m , (a 1 , a 2 , a 3 , ..., a m ). Each of the m components is independent of the others. That is, choosing a value for a single...
Concepts and Definitions Homogeneous vs Nonhomogeneous 齐次&非齐次 Linear Theory for Homogeneous DE Linear Theory 1. Starting Point 2. Principle of Superposition 3. Linear Dependence/Independence 4. Wronskian(朗斯基) 5. Abel's Formula 6. Existence of fundamental solutions 证明Linear Theory 注:本文是...
Linear Dependence and Independence(线性相关和线性无关) 2.1 Basic concept 2.1.1 Linear combinations of vectors(线性组合) 2.1.2 linearly represented(线性表示) 2.1.3 linear dependence and Independence(线性相关和线性无关) 2.2 T...
Linear independence in the context of equations means that the lines intersect at only one point. Therefore, there is only one solution to the system of equations. What is linear dependence and independence? Linear dependence means that two functions are the same line, so the system has an inf...
系统标签: vectors linear 线性 linearly independence dependence Sec.3LinearDependenceand IndependenceofVectors Definition1Let 12 ,,, s beasetofvectorsin 1122 0, ss kkk thenwesaythatthesetofvectors 12 ,,, s arelinearlydependent(线性相关). n-dimension,ifthereexistscalarsk 1 ,k 2 ,…,k s not...
这是dependence的字典解释。是“依赖“之意并不是”独立“之意。因此linear dependence应为”线性相关“。
线性代数英文课件：ch4-2 Linear Dependence Sec.3LinearDependenceandIndependenceofVectors Definition1Let1,2,,sbeasetofvectorsin n-dimension,ifthereexistscalarsk1,k2,…,ksnotallzero,suchthat k11k22kss0,thenwesaythatthesetofvectors1,2,,sarelinearlydependent(线性相关).Otherwise,wesaytheyarelinearly...
While short in length, the following material on linear dependence and independence is of fundamental importance—so much so that it forms a separate chapter.doi:10.1007/0-387-22677-X_3David A. HarvilleIBM T.J. Watson Research CenterSpringer New York...
2.3 Linear Independence 2.3.1 Linear Combination 2.3.2 Linear Dependence and Linear Independence 2.4 Maximally Linearly Independent Vector Group 2.4.1 Equivalent Vector Sets 2.4.2 Maximally Linearly Independent Group 2.4.3 The Relationship Between Rank of Matrices and Rank of Vector Sets 2.5 Vector ...