Linear Algebra

Contents: 1. Preliminaries. 2. Linear Equation. 3. Matrix Algebra. 4. Determinants. 5. Vector Spaces. 6. Eigenvalues and Eigenvectors. 7. Orthogonality. Bibliography. Index. This text is designed to support students irrespective of their prior knowledge in Linear Algebra. Every chapter begins with an introduction of the usage in various fields as a teaser followed by clear explanation of the concepts with statements of pertinent definitions and theorems. It focuses on geometric explanations in selected topics to illustrate that Linear Algebra is Analytic Geometry of n dimensions. This book contains ample examples concerning linear equations, computations with matrices and determinants, vector spaces, eigenvalues, eigenvectors, diagonalization of matrices and orthogonal vectors. Summary of key terms and formulae at the end of each chapter brings greater focus to the material that must be learned. Key Features: Pedagogical Features Geometric Emphasis Technology Reference Self- Check, Section Practices and Supplementary Exercises. …