This book consists of the expanded notes from an upper level linear algebra course given some years ago by the author. Each section, or lecture, covers about a week's worth of material and includes a ...

Compared with other problem book, this one has few new basic features. They include problems dealing with polynomial matrices (Sec. 13), linear transformations of affine and metric spaces (Secs. 18 ...

Vector Spaces and Subspaces Solving Ax = 0 and Ax = b Linear Independence, Basis, and Dimension The Four Fundamental Subspaces Graphs and Networks ...

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Abstract: Recovery sets for vectors and subspaces are important in constructions of distributed storage system codes. These concepts are also interesting in their own right. In this paper we consider ...

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Moreover, linear algebra and differential calculus need to be performed in the framework of vector space theory and not within semi-group one. This article reminds first in Section 2 the definition ...

This book serves as an introduction to linear algebra for undergraduate students in data science, statistics, computer science, economics, and engineering. The book presents all the essentials in ...