We study the following question: suppose that A and ℬ are two algebras of complex n × n matrices such that the ring commutator [A, B] = AB – BA is "small" for each A ∈ A and B ∈ ℬ; does this imply ...

Abstract: In this study, we look at student perceptions of a first course in linear algebra, focusing on two specific aspects. The first is the statement by Carlson that a fog rolls in once abstract ...

The Jupyter Guide to Linear Algebra covers many of the core topics that would appear in an introductory course on linear algebra, together with several applications. The guide also provides a brief ...

Topics include systems of linear equations, matrix algebra, elementary matrices, and computational issues. Other areas of the course focus on the real n-space, vector spaces and subspaces, basis and ...

The idea this definition captures is that a subspace of V is a nonempty subset which is itself a vector space under the same addition and scalar multiplication as V.

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ABSTRACT: In this paper, we discuss least squares symmetrizable solutions of matrix equations (AX = B, XC = D) and its optimal approximation solution. With the matrix row stacking, Kronecker product ...