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Titlebook: Basic Linear Algebra; Thomas S. Blyth,Edmund F. Robertson Textbook 19981st edition Springer-Verlag London 1998 Eigenvalue.Eigenvector.Matr

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期刊全称Basic Linear Algebra
影响因子2023Thomas S. Blyth,Edmund F. Robertson
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发行地址Written with an eye to the changing needs of students * Assumes very little prerequisite knowledge - * Sticks to the core topics *.Highlights include treating linear equations via Hermite normal forms
学科分类Springer Undergraduate Mathematics Series
图书封面Titlebook: Basic Linear Algebra;  Thomas S. Blyth,Edmund F. Robertson Textbook 19981st edition Springer-Verlag London 1998 Eigenvalue.Eigenvector.Matr
影响因子.Basic Linear Algebra. is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.
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Biochemical Basis of Herbicide Resistance,In order to proceed further with matrices we have to take a wider view of matters. This we do through the following important notion.
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Biochemical Basis of Herbicide Resistance,In the study of any algebraic structure there are two concepts that are of paramount importance. The first is that of a . (i.e. a subset with the same type of structure), and the second is that of a . (i.e. a mapping from one structure to another of the same kind that is ‘structure-preserving’).
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https://doi.org/10.1007/978-3-642-79107-9We shall now proceed to show how a linear mapping from one finite-dimensional vector space to another can be represented by a matrix. For this purpose, we require the following notion.
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