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covector
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Definition/Summary
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Given any finite dimensional vector space V, the space of linear functions  is called the dual space of V, denoted V* (which is also a vector space), and whose elements are called covectors or dual vectors. |
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Recent forum threads on covector
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Breakdown
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Mathematics
> Algebra
>> Linear
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Extended explanation
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Given an element  of V*, we write its action on an element  of V as  . The centered dot is used because the relationship between V and V* is symmetric, i.e. V is the dual space of V*, so that V** = V.
Given two dual vectors  and  , we define  as  . This operation of addition makes V* a vector space. |
Commentary
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