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Titlebook: Linear Equations; P. M. Cohn Book 1958 P. M. Cohn 1958 evaluation.mathematics.media.nature.network.quality.system

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書目名稱Linear Equations
編輯P. M. Cohn
視頻videohttp://file.papertrans.cn/587/586312/586312.mp4
叢書名稱Library of Mathematics
圖書封面Titlebook: Linear Equations;  P. M. Cohn Book 1958 P. M. Cohn 1958 evaluation.mathematics.media.nature.network.quality.system
描述LINEAR equations play an important part, not only in mathe- matics itself, but also in many fields in which mathematics is used. Whether we deal with elastic deformations or electrical networks, the flutter of aeroplane wings or the estimation of errors by the method of least squares, at some stage in the cal- culation we encounter a system of linear equations. In each case the problem of solving the equations is the same, and it is with the mathematical treatment of this question that this book is concerned. By meeting the problem in its pure state the reader will gain an insight which it is hoped will help him when he comes to apply it to his field of work. The actual pro- cess of setting up the equations and of interpreting the solution is one which more properly belongs to that field, and in any case is a problem of a different nature altogether. So we need not concern ourselves with it here and are able to concentrate on the mathematical aspect of the situation. The most important tools for handling linear equations are vectors and matrices, and their basic properties are developed in separate chapters. The method by which the nature of the solution is described is one which l
出版日期Book 1958
關(guān)鍵詞evaluation; mathematics; media; nature; network; quality; system
版次1
doihttps://doi.org/10.1007/978-1-4684-1493-6
isbn_softcover978-0-7100-8633-4
isbn_ebook978-1-4684-1493-6
copyrightP. M. Cohn 1958
The information of publication is updating

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The Solution of a System of Equations: the Regular Case,be written as.where the vectors have been written as columns, instead of rows as in ch. I. This way of writing the equations puts the problem in a different light. To solve this vector equation is to express the vector on the right as a linear combination of the two vectors on the left.
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Matrices,t write the system as.where we have replaced the constants . on the right by variables. If we take .=(.,….)′ and . = (.,….)′ to be column-vectors, we may regard the set of coefficients (.) in as an operator which acts on . to produce ..
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