Examples of vector spaces: Difference between revisions

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The most common cases are where '''F''' is the field of [[real number]]s giving the [[real coordinate space]] '''R'''<sup>''n''</sup>, or the field of [[complex number]]s giving the [[complex coordinate space]] '''C'''<sup>''n''</sup>.
 
The [[quaternion]]s and the [[octonion]]s are respectively four- and eight- dimensional vector spaces over the reals.
 
The vector space '''F'''<sup>''n''</sup> comes with a [[standard basis]]: