Examples of vector spaces: Difference between revisions

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m unbalanced brackets using AWB
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m Coordinate space: The vector space over the field of reals comes with the denoted standard basis. This does not generalize to all fields AFAIK.
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The [[quaternion]]s and the [[octonion]]s are respectively four- and eight-dimensional vector spaces over the reals.
 
The vector space '''FR'''<sup>''n''</sup> comes with a [[standard basis]]:
:<math>e_1 = (1, 0, \ldots, 0) </math>
:<math>e_2 = (0, 1, \ldots, 0) </math>