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## Homework Statement

Let V be the set of all complex-valued functions, f, on the real line such that

f(-t)= f(t) with a bar over it, which denotes complex conjugation.

Show that V, with the operations

(f+g)(t)= f(t)+g(t)

(cf)(t)=cf(t)

is a vector space over the field of real numbers.

## Homework Equations

## The Attempt at a Solution

I don't know what complex conjugation means, so I have no idea where to start with this.