Dimension of a Vector Space

Dimension of a Vector Space

All the bases of a given vector space have the same number of vectors. This number determines the dimension of the vector space. This is what is meant by “basis of a vector space”.


  • The vector \(\overrightarrow{u}\) = (3, -5, 6) is a three-dimensional vector.
  • The vector \(\overrightarrow{v}\) = (2, -3) is a two-dimensional vector.

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