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INTRODUCTION TO LINEAR ALGEBRA Vol. 1 (Concept, Theory and Applications)
Dr. Partha Karmakar, Dr. Chandan Bikash Das and Mr. Pabitra Kumar Gouri
First Published: 2021
Reprint: 1
ISBN: 978-81-948455-3-9
Pages: 730

CONTENTS:

Chapter 1: Matrix
- Unit 1: Definition and elementary properties
- Unit 2: Adjoint and inverse of a matrix
- Unit 3: Orthogonal matrix
- Unit 4: Complex matrix
- Unit 5: Matrix inversion method
- Unit 6: Rank of a matrix
- Unit 7: Elementary operations
- Unit 8: Elementary matrix
- Unit 9: Congruence operation
Chapter 2: Vector space
- Unit 1: Definition and basic properties
- Unit 2: Subspace
- Unit 3: Linear combination and linear span
- Unit 4: Linear dependence and dependence
- Unit 5: Basis and dimension
- Unit 6: Complement of subspace
- Unit 7: Quotient space
- Unit 8: Row and column space
- Unit 9: System of linear equation
Chapter 3: Characteristic polynomial
- Unit 1: Characteristic polynomial
- Unit 2: Eigen values
- Unit 3: Eigen vector
- Unit 4: Diagonalisation
Chapter 4: Linear transformations
- Unit 1: Definition and basis properties
- Unit 2: Algebra of linear transformations
- Unit 3: Inverse of linear transformation
- Unit 4: Isomorphism of linear transformation
- Unit 5: Matrix representation

ABOUT THE BOOK: 

- The book entitled ‘Introduction to Linear Algebra’ (Vol. 2) has been written to serve as a textbook for the undergraduate (Hons./Major) students of mathematics of all Indian Universities according to CBCS as well as competitive examinations.
- This book is written in a lucid style and pointwise manner presenting the subject matter from the basic elementary information to the most recent advance.
- The attractive feature of this book is its rich collection of problems and solutions that might be selected in different University question papers and also University model question papers that will help the students to tackle different examinations.
- This book contains unit end MCQs and these are selected from different competitive examinations namely CSIR, UGC NET, GATE, NBHM, IIT JAM, TIRFR, and other examinations.
- This book will definitely help the students not only to prepare for examinations but also to develop analytical problem-solving skills.
- A bonus to the students — the authors is available for free interactive sessions at: WhatsApp No. 8972644828 or pabitrakumargouri@gmail.com

ABOUT THE AUTHOR:

Dr. Partha Karmakar is an M.Sc. (First Class) in Applied Mathematics from Burdwan University and obtained his Ph. D degree in Multivariate Analysis from NIT, Durgapur. He formerly acted as a member of Bethune College, Bidhannagar College, Kolkata, West Bengal, Jalpaiguri Govt. College, Jalpaiguri, West Bengal, India. He has published papers in national and international Journals.

Dr. Chandan Bikash Das is an M.Sc. (First Class) gold medalist in Applied Mathematics with Oceanology and Computer Programming from Vidyasagar University and obtained his Ph.D. degree in Operations Research from the same University. Presently, he is an assistant professor in mathematics, Tamralipta Mahavidyalaya, Tamluk, Purba Medinipur, West Bengal, India. He has published more than four national level and twenty international level Journal papers. He is also the author of Introduction to Classical Algebra by Books & Allied (P) Ltd. and Introduction to Abstract Algebra by Books & Allied (P) Ltd.

Mr. Pabitra Kumar Gouri is an M.Sc. (First Class) in Applied Mathematics with Oceanology and Computer programming and had also obtained his professional qualification in B.Ed. Presently, he is a Head of Institution at Chhotakhelna S. S. Vidyamandir, Maligram, Paschim Medinipur, West Bengal, India. He was formerly Head of Institution at Saluka M. J. High School, Tamluk, Purba Medinipur, West Bengal, India. Formerly he also served as an assistant teacher of Mathematics, Dubra Adarsha Vidyamandir (H.S), Jhargram, Paschim Medinipur, West Bengal, India. He is also the author of the titles ‘Mathematics Encyclopedia’ by Tapati Publication, Introduction to Classical Algebra by Books & Allied (P) Ltd., Introduction to Abstract Algebra by Books & Allied (P) Ltd., and also Introduction to Linear Algebra (Vol. 2) by Books & Allied (P) Ltd.