Linear algebra MOC

Dual vector space

Let 𝑉 be a vector space over a field 𝕂. The dual vector space 𝑉 is the space of all linear functionals 𝑉 𝕂, i.e. 𝑉 =𝖵𝖾𝖼𝗍𝕂(𝑉,𝕂). #m/def/linalg Elements of this space are called dual vectors or covectors of 𝑉.

A covector is an example of Tensor, and are important in the general definition of these objects.


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