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Titlebook: Linear Algebra; A. Ramachandra Rao,P. Bhimasankaram Book 2000Latest edition Hindustan Book Agency (India) 2000

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发表于 2025-3-21 17:26:53 | 显示全部楼层 |阅读模式
书目名称Linear Algebra
编辑A. Ramachandra Rao,P. Bhimasankaram
视频video
丛书名称Texts and Readings in Mathematics
图书封面Titlebook: Linear Algebra;  A. Ramachandra Rao,P. Bhimasankaram Book 2000Latest edition Hindustan Book Agency (India) 2000
描述The vector space approach to the treatment of linear algebra is useful for geometric intuition leading to transparent proofs; it‘s also useful for generalization to infinite-dimensional spaces. The Indian School, led by Professors C.R. Rao and S.K. Mitra, successfully employed this approach. This book follows their approach and systematically develops the elementary parts of matrix theory, exploiting the properties of row and column spaces of matrices. Developments in linear algebra have brought into focus several techniques not included in basic texts, such as rank-factorization, generalized inverses, and singular value decomposition. These techniques are actually simple enough to be taught at the advanced undergraduate level. When properly used, they provide a better understanding of the topic and give simpler proofs, making the subject more accessible to students. This book explains these techniques.
出版日期Book 2000Latest edition
版次2
doihttps://doi.org/10.1007/978-93-86279-01-9
isbn_ebook978-93-86279-01-9
copyrightHindustan Book Agency (India) 2000
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发表于 2025-3-21 22:48:49 | 显示全部楼层
发表于 2025-3-22 03:39:30 | 显示全部楼层
Linear equations,olution of linear equations also plays an important role in obtaining approximate solutions of non-linear equations. In this chapter, we make a systematic study of the theoretical aspects of the solution of linear equations and give some computational procedures.
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Determinants, non-singular matrix. In the Calculus of several variables, the Jacobian used in transforming a multiple integral uses determinant. This use arises from the fact that determinant is the volume of a certain parallelopiped. Determinants are also useful in various other subjects like Physics, Astronomy and Statistics.
发表于 2025-3-22 12:02:04 | 显示全部楼层
Vector spaces,itude, the new force is . where . is the point on . such that . = −. with the usual convention. In general, . times the force . is . where . is a point on . (extended either way, if necessary) such that . = ., where a may be positive, negative or zero.
发表于 2025-3-22 15:57:25 | 显示全部楼层
Rank and inverse,is chapter we define rank and study its basic properties. We also study nullity, existence and properties of inverse and a few other topics like projectors and change of bases. Computational procedures will be taken up in the next chapter.
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Vector spaces,h . represents the magnitude and . to . the direction of the force. If we now apply another force . at the point ., the resultant (also called the sum) of the two forces is obtained by the .: it is . where . is a parallelogram. Also, if the strength of the force . is doubled without changing the dir
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