The set of all vectors in $\mathbb C^2$ of the form $(z, \overline{z})$ with the usual vector addition and scale multiplication.
Ran into this problem while studying for a test. How would I solve it?
2026-03-04 13:13:01.1772629981
Determine if the given set is a complex vector space.
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Hints: If you add two vectors of this form, is the result also of this form? What about multiplying a vector of this form by a complex scalar? What are the requirements for a set to he a vector space?