目录 词条 专业释义 词条提问 行业词表 推荐术语 disme Tenere temporary condemnation nullity of contract molest词条basis of linear space专业释义 <数学> 线性空间的基词条提问 欢迎你对此术语进行提问>> 行业词表 石油纺织轻工业造纸采矿信息学农业冶金化学医学医药地理地质外贸建筑心理学数学机械核能汽车海事消防...
Proposition Let be a basis for a linear space . Let . If , then a new basis can be obtained by replacing one of the vectors with . ProofBy reading the proof we notice that we cannot choose arbitrarily the vector to be replaced with : only some of the vectors are suitable to be ...
x is a set, a, b are real numbers, V is a real linear space, W 1 , W 2 , W 3 are subspaces of V , v, v 1 , v 2 are vectors of V , A, B are subsets of the carrier of V , L, L 1 , L 2 are linear combinations of V , l is a linear combination of A, F ,...
The authors consider a linear space (P,) which fulfilles the exchange condition. Let f:P→P be a map for which f(B) is a basis of P if and only if B is a basis of P. Then f is injective and maps lines on lines. In particular, if (P,) is an affine or projective space ...
在另一本书上《Linear algebra done right》上说当一个向量sequence里其中一个可以被其他线性组合出来,那么他们线性相关,否则线性无关,这个和上面的nullspace的说法含以上是一致的,但是感觉更形象。 Vectors that Span a Subspace(Row Space) 本来想写span但是总记得已经写过了,回去一查果然有说明,span的概念比较好...
A property (P) that locally convex spaces may enjoy is termed a three- space property if, whenever E contains a subspace F such that F and E/F have (P), then E too has (P). In the present paper it is proved that the property of having a basis is not a three-space property fo...
线性独立(linear independent) V中一列矢量v1,v2...vn的线性组合a1v1+a2v2+...+anvn=0只有在a1=a2=...=an=0时才成立,就说矢量v1,v2...vn线性独立(linearly independent);反之,如果找得到不全为0的一组系数ai使得a1v1+a2v2+...+anvn=0,我们就说v1,v2...vn线性不独立(linearly dependent)。
【题目】Linear MappingLet V be an n dimensional vector space withbasis B.Let S be the vector space of all linear operators L:V-V.Prove that T is linear.只有英语的.小弟不知道中文怎么说给各思路也行 答案 【解析】我想[L]B表示线性变换L在基B下的矩阵吧任取L1, L2∈S k≠0T(L1+L2)=[L1...
In any case, where I read it today, it was presented for a vector space corresponding to a field extension. Typically, the argument provided to trace is a square matrix (or the linear transformation it represents) but here it is necessarily an algebraic number. The symmetry in the above ...
Banach Space Theory: The Basis for Linear and Nonlinear Analysis The Basis for Linear and Nonlinear Analysis MJ Fabian - Springer New York 被引量: 285发表: 2011年 A Characterization of Banach Spaces with Separable Duals via Weak Statistical Convergence ☆...