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Euclidean Space

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Euclidean space of dimension n is the space of all n-tuples of real numbers which generalizes the two-dimensional plane and three-dimensional space.

Euclidean space is a college-level concept that would be first encountered in a linear algebra course.

Prerequisites

Vector Space: A vector space is a set that is closed under finite vector addition and scalar multiplication. The basic example is n-dimensional Euclidean space.

Classroom Articles on Linear Algebra (Up to College Level)

  • Eigenvalue
  • Matrix
  • Eigenvector
  • Matrix Inverse
  • Inner Product
  • Matrix Multiplication
  • Linear Algebra
  • Norm
  • Linear Transformation