Book Description: Fundamentals of Linear Algebra and Some of Its Applications Author: Блох Э. Л. , Лошинский Л. И. , Турин В. Я. 1971 256 М. Высшая школа, 1971. — 256 с. Genre: Mathematics, Linear Algebra The book "Fundamentals of Linear Algebra and Some of Its Applications" by Блох Э. Л. , Лошинский Л. И. , Турин В. Я. provides an in-depth look at the principles of linear algebra and its applications in various fields. The book covers the fundamentals of linear algebra, including matrices, linear transformations, systems of linear equations, linear spaces, linear operators, Euclidean space, and quadratic forms. It also explores the application of linear algebra methods to questions of analysis, linear differential theory, and Markov chains. The text includes a variety of illustrative examples and exercises with answers and solutions at the end of each chapter. The book begins by introducing the concept of matrices and their operations, such as addition, multiplication, and determinants. It then delves into the study of linear transformations and their properties, including linear independence, span, and basis. The author explains how these concepts are essential for understanding linear equations and their solutions.

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線形代数学の基本原則とその応用著者の一部：Bloch EL、 hinsky LI、 Turin V。Ya。出版：［出版］256 M。 Higher School、 1971。-256 s。 Genre： Mathematics、 Linear Algebra book "Linear Algebra and Some of Its Applications'Bloch EL、 hinsky LI、 Turin V。この本は、行列、線形変換、線形方程式の系、線形空間、線形演算子、ユークリッド空間、および二次形式を含む線形代数の基礎をカバーしている。また、線形代数法の解析、線形微分理論、マルコフ連鎖の問題への応用も検討している。テキストには、各章の最後に解答と解決策を含む多くの例と演習が含まれています。この本は、加算、乗算、行列などの行列の概念とその操作の導入から始まります。その後、線形変換とその特性（線形独立性、スパン、基礎など）の研究を行っている。線形方程式とその解を理解するために、これらの概念がどのように必要であるかを説明します。