A vector basis is a subset of vectors from V that can be used to generate any other element in V,
using just additions and scalar multiplications.
A basis set, ,
is linearly dependent if:
Otherwise, the basis set is linearly independent.
A linearly independent basis set with i elements is said to
span an i-dimensional vector space.
A basis set can be used to name or address a vector.
This is the done by assigning the vector coordinates as follows:
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