This book is a gentle introduction to the fascinating subject of Linear Algebra. The fundamental concepts of vectors, matrices, and systems of linear equations are presented in an easy-to-follow manner with plenty of solved examples. The critical concepts of eigenvalue decomposition of matrices, vector spaces and linear transformations are explained in a clear and accessible manner to help students in developing a deep understanding of the subject. The book further illustrates the applications of linear algebra in computer graphics. Importantly, the book provides a comprehensive introduction to
applications of linear algebra in artificial intelligence, one of the fastest growing branches of technology. The book is intended for undergraduate students of mathematics, engineering and natural
science disciplines. The book assumes no prior knowledge of linear algebra or artificial intelligence and is therefore ideal for students embarking on their first course in the subject of linear algebra. The book can be used for both classroom and independent learning.
Dr. Rashmi Sehgal Thukral is an Associate Professor in the Department of Mathematics at Jesus and Mary College (JMC), University of Delhi. She holds B.A. (Hons.), M.A., M.Phil., and Ph.D degrees in Mathematics from the University of Delhi. She was a university goldmedallist and has been a faculty at JMC for nearly 20 years. Her academic expertise spans a wide range of mathematical disciplines including Algebra, Analysis, Calculus, and Statistics. Her current research interests lie in the field of functional analysis, specifically operator theory and invariant subspaces, with an emerging focus on their applications in artificial intelligence.
1 Vectors
2 Matrices
3 System of Linear Equations
4 Eigenvalue Decomposition of a Matrix
5 Vector Spaces
6 Linear Transformations
7 Linear Algebra in Computer Graphics
8 Linear Algebra in Artificial Intelligence
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