1. Basics of Linear Algebra

  1. Jorge Rebaza

Published Online: 26 APR 2012

DOI: 10.1002/9781118277188.ch1

A First Course in Applied Mathematics

A First Course in Applied Mathematics

How to Cite

Rebaza, J. (2012) Basics of Linear Algebra, in A First Course in Applied Mathematics, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118277188.ch1

Publication History

  1. Published Online: 26 APR 2012
  2. Published Print: 30 MAR 2012

ISBN Information

Print ISBN: 9781118229620

Online ISBN: 9781118277188

SEARCH

Keywords:

  • triangular matrices;
  • inverse matrices;
  • Hessenberg matrices;
  • permutation matrices;
  • vector spaces

Summary

This chapter contains sections titled:

  • Notation and Terminology

  • Vector and Matrix Norms

  • Dot Product and Orthogonality

  • Special Matrices

  • Vector Spaces

  • Linear Independence and Basis

  • Orthogonalization and Direct Sums

  • Column Space, Row Space, and Null Space

  • Orthogonal Projections

  • Eigenvalues and Eigenvectors

  • Similarity

  • Bezier Curves and Postscript Fonts

  • Final Remarks and Further Reading

  • Exercises