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Introduction to Lineal Algebra, 2nd Edition is a reference book for the knowledge seekers of linear algebra. Written by the American mathematician Lang Serge, this is the second edition of the book. This book is a short text, which is written for the purpose of one-term course. The book begins with a brief introduction of the relationship of geometry and algebra. This relationship underlies the subject covered in this book. The author also provides concrete examples of the notions that are discussed later in the book. This book has chapters that contributes towards enhancing the knowledge of linear algebra. The first part of the book is dedicated to vectors. Matrices and linear equations are covered in the second chapter. The third chapter discusses the vector spaces. The fourth one is devoted to the discussion of linear mappings. The fifth one explores the composition and inverse mappings. The sixth chapter discusses scalar products and orthogonality. The seventh chapter describes the determinants and finally the last chapter comprises discussion on eigenvectors and eigenvalues. The last section of the book consists of answers to the various exercises provided throughout the book.