Find a basis for a set involving complex conjugates

56 Views Asked by At

How can I find a basis for this vector space over ℝ:

A={(u, v, v̄, -u) : u,v ∈ } (so u and v are complex numbers of the form a + bi and v̄ is the complex conjugate of v).

It's just the complex conjugate part which is confusing me and I can't find any other examples of it online. Any help would be much appreciated!