Elements of Linear Algebra
by P.M. Cohn
ISBN No. 9780412552809
No.of pages 240
This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding. The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.
Table of contentsIntroduction Vectors The solution of a system of equations: the regular case Matrices The solution of a system of equations: the general case Determinants Coordinate geometry Coordinate transformations and linear mappings normal forms of matrices Applications I: Algebra and Geometry Applications II: Calculus, mechanics, economics Answers to the exercises Special notations and symbols used Bibliography Index
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