Sign up with one click: Facebook Twitter Google Share on Facebook linear independence (redirected fromLinearly independent) Acronyms Encyclopedia linear independence n. The property of a set of vectors of having no linear combinations equal to zero unless all of the coefficients are equal to zero....
Let {x1, x2} be a linearly independent set of vectors in R". Let S be the subspace generated by {X1, X2}. That is, S is the set consisting of all linear combinations of X, and X2. Define two scalars, a=xfx, and ß = xſ...
48. Let {v1, ... , vk} be a linearly independent set of vec-tors in R", and let v be a vector in R". Suppose that v=c_1v_1+c_2v_2+⋯ + Ck Vk with C1 0. Prove that(v,v_2,⋯,v_k/islincarl_3 independent. ...
The following theorem is proved: If R is a noetherian ring, M is a free R -module of rank n , and {v 1 ,…, v s } is the maximal set of linearly independent vectors, then always s = n . An example is also given of a commutative ring R for which the above theorem is false...
Independent n. 1.【宗】独立派 2.【英】公理会教徒 a. 1.【宗】独立派的 set v.[T] 1.放,置;竖立 2.(只用被动语态)使坐落;使处于特定位置 3.安装 4.安排 5.使接触(to) 6.【主美】放(火);点燃(火) 7.打上(印记);签(名),盖(章) SET =Self-Extending Translator 自扩充翻译程序 dupl...
corollary 1 any linearly independent set has size no greater than the dimension corollary 2 any spanning set has size no less than the dimension. corollary 3. (dimension is well defined) in a finite dimensional vector space, the size of basis, or the dimension of that vector space, is we...
必应词典为您提供linearly-independent的释义,un. 线性无关的; 网络释义: 线性无关或线性独立;数学证明;为线性独立;
zero. When Nul ANul\ ANul A contains nonzero vectors, the number of vectors in the spanning set for Nul 6.4 The Gram–Schmidt process (格拉姆-施密特算法) }\} {u1,...,un} for W = C o l A W = ColA W=ColA. This basis may be constructed by the Gram&ndash...,\boldsymbol x...
Linearly Dependent Vectors:Vectors are measurements that consider the value and direction. This means that vectors would have values for each component for the direction of a measurement. Considering different vectors, we can come across vectors that are linearly dependent with each other....
The article sums up eight methods to judge the linearly dependent and the linearly independent of vectors. 文章总结出了判断向量线性相关和线性无关的八种方法。 更多例句>> 6) Linear independence 线性无关性 例句>> 补充资料:线性无关 线性无关 linear independence 线性无关〔血earin归卿血Ke;“抓e...