Chapter 6.1, Problem 14EQ

In Exercises 14-17, determine whether the given set, together with the specified operations of addition and scalar multiplication, is a complex vector space. If it is not, list all of the axioms that fail to hold.

The set of all vectors in ${ℂ}^2$ of the form $\left[\begin{array}{c}z\\ \bar{z}\end{array}\right],$ with the

usual vector addition and scalar multiplication