Linear Algebra

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Designed as a text for undergraduate and postgraduate students of Mathematics, this well-established and highly successful book provides a comprehensive and systematic treatment of the subject. It gives an indepth analysis of the principal topics in Linear Algebra, and shows the importance of the subject through a variety of applications. The topics dealt with include vector spaces, linear transformations and matrices, systems of linear equations, determinants, diagonalization, inner product spaces, and canonical forms. Throughout, the applications of linear algebra to such areas as differential equations, economics, geometry and physics are fully analyzed. Table Of Contents Preface. 1. Vector Spaces. 2. Linear Transformations and Matrices. 3. Elementary Matrix Operations and Systems of Linear Equations. 4. Determinants. 5. Diagonalization.. 6. Inner Product Spaces. 7. Canonical Forms. Appendices- A: Sets. B: Functions. C: Fields. D: Complex Numbers. E: Polynomials. Answers to Selected Exercises. Index