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This book is based on a course Linear Algebra. We have written this book as per the revised syllabus of F.Y. B.Sc.(Computer Science) Mathematics, revised by Savitribai Phule Pune University, Pune, implemented from June 2019. Linear Algebra is the most useful subject in all branches of mathematics and it is used extensively in applied mathematics and Computer Graphics. Linear Algebra is the study of vector spaces, which are mathematical structures used to design aircraft models. It is a bridge connecting mathematics with various branches of computer science. We study, how problems in almost every conceivable discipline can be solved using techniques of Linear Algebra.