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Linear Algebra (Second Edition)

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Book Details

  • Publisher: Hindustan Book Agency

  • Author: A. Ramachandra Rao

  • Language: English

  • Edition: Second Edition

  • ISBN: 9788185931616

  • Pages: 414

  • Cover: Paperback

  • Dimensions: 8.7 x 5.7 x 1.1 inches

About The Book

Linear Algebra (Second Edition) by A. Ramachandra Rao offers a rigorous yet accessible approach to linear algebra, following the vector space approach championed by the Indian School, led by Professors C.R. Rao and S.K. Mitra. This method enhances geometric intuition, provides transparent proofs, and is invaluable for generalizing concepts to infinite-dimensional spaces.

The book systematically develops the elementary parts of matrix theory, with a focus on the properties of row and column spaces of matrices. It incorporates modern techniques like rank-factorization, generalized inverses, and singular value decomposition, which are often overlooked in basic texts but are simple enough for advanced undergraduate students to grasp. These techniques not only simplify proofs but also improve students' understanding of linear algebra.

With clear explanations, numerous examples, and well-designed exercises, this book is a perfect choice for both students and instructors. Whether you're just beginning your journey into linear algebra or deepening your knowledge, A. Ramachandra Rao’s book provides a comprehensive and accessible pathway to mastering the subject.