Add to ORKGSummary. The article is continuation of [14]. At the beginning we prove some theorems concerning sums of finite sequence of vectors. We introduce the following notions: sum of finite subset of vectors, linear combination, carrier of linear combination, linear combination of elements of a given set of vectors, sum of linear combination. We also show that the set of linear combinations is a real linear space. At the end of article we prove some auxiliary theorems that should be proved in [16], [5], [7], [1] or [8]. MML Identifier: RLVECT 2
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This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
In this paper, we consider combinations of related vectors of a vector space with special applicatio...
Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedder...
Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension,...
Summary. The notion of linear combination of vectors is introduced as a function from the carrier of...
Summary. In this article we introduce a notion of real linear space, operations on vectors: addition...
Summary. In this paper we show the finite dimensionality of real linear spaces with their carriers e...
Most of the introductory courses on linear algebra develop the basic theory of finite dimensional v...
Elements of Linear Space is a detailed treatment of the elements of linear spaces, including real sp...
We have proven that every finitely generated vector space has a basis. But what about vector spaces ...
Abstract. We study vectors of positive integers such that a finite number of positive linear combina...
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations i...
The paper is a study of linear on the linear algebra, vector spaces and subspaces .Linear algebra de...
Summary. This article is concerned with a generalization of concepts introduced in [10], i.e., there...
In this paper we show the finite dimensionality of real linear spaces with their carriers equal Rn. ...
This classic work by the late Stefan Banach has been translated into English so as to reach a yet wi...
In this paper, we consider combinations of related vectors of a vector space with special applicatio...
Linear Associative Algebras focuses on finite dimensional linear associative algebras and the Wedder...
Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension,...