vector n. 1.【数】矢量;向量 2.【生】(传染疾病的)介体、载体 3.【术语】(航空器的)航线 duplex independent 【计】 双工独立的 device independent 与设备无关 host independent 【计】 与主机无关的 machine independent 独立于机器的,机器独立程序 space independent 空间不相关的 four vector 四元...
The set of vectors formed by all possible linear combinations of vectors from a linearly independent set X forms a vector space (see Problem 1 at the end of this chapter). The set X is said to be the basis for this vector space. The basis set contains the smallest number of linearly ...
Given a list of linearly dependent vectors, we can always find a vector that is a linear combination of the rest. By removing it from the list, the span does not change. If a list has linearly independent vectors, its length is <= any spanning list in the same vector space V. Thus,...
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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...
Let u, \upsilon, w be three linearly independent vectors in \mathbb{R}^7 . Determine a value of k, k = , so that the set S = \{u - 5 \upsilon, \upsilon - 2w, w - ku\} is linearly dependent. Let u, v, and w be any three vectors from a vector space V. Determine wheth...
We take the y axis along the vector κ, i.e. κ = (0, κy) = (0, κ). Then two fundamental types of linearly independent solutions are obtained. One is a completely decoupled purely transverse solution of the form given by the one-column matrices: (5.7)|iκ2+kT2kTcos(kTz)...
A vector {eq}z {/eq} is said to belongs in span {eq}\left \{ x,y \right \} {/eq} , if the vector {eq}z {/eq} is expressible in linear combination of the vectors {eq}x, y . {/eq} Answer and Explanation: Explanation: Given that ...
In this paper are found θ(n) linearly independent vector fields on the Grassmann manifold Gk(V) of k-planes in n-dimensional Euclidean vector space if k is odd number, where θ(n) is the maximal number of linearly independent vector fields on Sn1, i.e. skewsymmetric anticommuting comple...
1.This article uses the method of linearly independent vector to make a brief analysis of the shaking force balance of planar seven-bar linkage mechanism,and supplies the condition in which the mechanism realizes the full balance of shaking force.运用线性无关向量法对平面七杆机构的振动力平衡问题进...