1st Edition

Elements of Linear Algebra

By P.M. Cohn Copyright 1994
    240 Pages
    by Chapman & Hall

    240 Pages
    by Chapman & Hall

    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.

    Introduction
    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

    Biography

    Cohn, P.M.