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Euclidean Spaces

In: Linear Algebra for Economists

Author

Listed:
  • Fuad Aleskerov

    (National Research University)

  • Hasan Ersel

    (Sabanci University)

  • Dmitri Piontkovski

    (National Research University)

Abstract

In this chapter, we will analyse how various metric concepts, such as the length of a vector, the angle between two vectors etc., are related to linear spaces. It is to be noted that one cannot directly define these concepts in linear spaces, since first a dot product for a given linear space should be defined.

Suggested Citation

  • Fuad Aleskerov & Hasan Ersel & Dmitri Piontkovski, 2011. "Euclidean Spaces," Springer Texts in Business and Economics, in: Linear Algebra for Economists, chapter 7, pages 107-122, Springer.
    • Handle: RePEc:spr:sptchp:978-3-642-20570-5_7
    DOI: 10.1007/978-3-642-20570-5_7
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