Matrices as Linear Transformations

  • Bill Jacob
Part of the Textbooks in Mathematical Sciences book series (TIMS)


We all learned at an early age that in spite of the similarities, there is a significant difference between a left shoe and a right shoe. How does a mathematician recognize and describe this difference? To a mathematician, the right shoe is the reflection of the left shoe, and vice versa. Look in the mirror at a left shoe’s reflection next to its companion right shoe to see why. It turns out that the difference between some objects and their reflections can be substantial, even more so than for shoes!


Linear Operator Linear Transformation Matrix Multiplication Standard Basis Group Project 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York, Inc. 1995

Authors and Affiliations

  • Bill Jacob
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA

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