The rank of a matrix A is the dimension of the vector space formed by its columns in linear algebra. In this article we will learn some useful information about this.
In this case, the rank of matrix A is one, since each row of A is a constant multiple of the first row. 在这情况,矩阵A的排名是一,因为每排一是第一排的持续倍数因此,所有的本徵值一是零,除了一之外。 www.zhishiduo.com 2. Description of the Equivalent Propositions on the Rank of Matrix...
For t a positive integer, the t-term rank of a (0,1)-matrix A is defined to be the largest number of 1s in A with at most one 1 in each column and at most t 1s in each row. Thus the 1-term rank is the ordinary term rank. We generalize some basic results for the term ...
By the dimension formula (1), there is a full column rank matrix B∈Rq(Tini+L)×(m(Tini+L)+n), such that wini∧(u,y)=Bg, for some g∈Rm(Tini+L)+n, i.e., the columns of B form a basis for ℬ|Tini+L. Denote with B′∈R(qTini+mL)×(m(Tini+L)+n) the ...
On the condition numbers associated with the polar factorization of a matrix We are interested in the calculation of explicit formulae for the condition numbers of the two factors of the polar decomposition of a full rank real or co... F Chaitin-Chatelin,S Gratton - 《Numerical Linear ...
As a step in that direction this paper finds a closed form for the average weight of an $m$ by $n$ matrix of rank $k$ over the finite field with $q$ elements. The formula is a simple algebraic expression in $m$, $n$, $k$, and $q$. For rank one matrices a complete ...
A formula is given for the rank in characteristic p (p = 0 or p is a prime) of the incidence matrix of a connected r-uniform hypergraph. A Bj?Rner,J Karlander - 《European Journal of Combinatorics》 被引量: 33发表: 1993年
(We now need to assume that the page indices run from 1 to the number of pages on the web, .) Formally, Consider the matrix equation The th row of this equation is precisely the update for PageRank we described above. In this case, repeatedly applying the formula corresponds to the...
Twitter Google Share on Facebook Also found in:Thesaurus,Medical,Legal,Financial,Encyclopedia,Wikipedia. ThesaurusAntonymsRelated WordsSynonymsLegend: Switch tonew thesaurus Noun1.rank order- an arrangement according to rank ordering,order- the act of putting things in a sequential arrangement; "there ...
In this connection, $(s_1, s_2, r_1, r_2, p_1, p_2)$-Stirling numbers of the second kind are introduced and their identities are established... NK Bi,M Parvathi - 《Algebra & Discrete Mathematics》 被引量: 1发表: 2015年 Proof of a Class of Matrix Rank Identities and its App...