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Chapter 1: Vector Spaces

Chapter 1: Vector Spaces

pp. 1-25

Authors

, Pomona College, California, , University of Utah
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Extract

Chapter 1: In this chapter, we provide formal definitions of real and complex vector spaces, and many examples. Among the important concepts introduced are linear combinations, span, linear independence, and linear dependence.

Keywords

  • Vector space
  • subspace
  • column space
  • row space
  • null space
  • linear combination
  • span
  • linear independence
  • linear dependence
  • pivot column decomposition

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