Linear Algebra [electronic resource] / by Larry Smith.

In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Smith, Larry
Format: Electronic eBook
Language:English
Published: New York, NY : Springer US, 1984.
Edition:Second edition.
Series:Undergraduate texts in mathematics.
Subjects:
Table of Contents:
  • 1 Vectors in the plane and space
  • 2 Vector spaces
  • 3 Subspaces
  • 4 Examples of vector spaces
  • 5 Linear independence and dependence
  • 6 Bases and finite-dimensional vector spaces
  • 7 The elements of vector spaces: a summing up
  • 8 Linear transformations
  • 9 Linear transformations: some numerical examples
  • 10 Matrices and linear transformations
  • 11 Matrices
  • 12 Representing linear transformations by matrices
  • 12bis More on representing linear transformations by matrices
  • 13 Systems of linear equations
  • 14 The elements of eigenvalue and eigenvector theory
  • 14bis Multilinear algebra: determinants
  • 15 Inner product spaces
  • 16 The spectral theorem and quadratic forms
  • 17 Jordan canonical form
  • 18 Applications to linear differential equations
  • List of notations.