Given sufficiently many (at least eight) linearly independent vectors it is possible to determine in a straightforward way.

It is the Gram matrix of linearly independent vectors.

Since X is an independent vector in the equation, we are completely ignorant about it.

The dimension of is equal to the maximum number of linearly independent vectors in .

A set of linear independent vectors of set up a basis of .

Also many vector sets can be attributed a standard basis which comprises both spanning and linearly independent vectors.

But any two linearly independent vectors, like (1,1) and ( 1,2), will also form a basis of R.

In general, n linearly independent vectors are required to describe any location in n-dimensional space.

They only considered the case where the lattice has full rank, i.e. the basis consists of linear independent vectors.

However, the field must be large enough to include enough independent vectors.