# Linear Algebra: Second Edition

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*A. Ramachandra Rao; P. Bhimasankaram*

A publication of Hindustan Book Agency

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 during the past few decades 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. It is intended as a textbook for the
advanced student of mathematics and/or statistics. It will also be useful for
students of physics, computer science, engineering, operations research,
and research scientists.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

#### Readership

Advanced undergraduates, graduate students, and researchers interested in linear algebra.