Question: A set of objects is given, together with operations of addition and scalar multiplication. Determine which sets are complex vector spaces under the given operations.

A set of objects is given, together with operations of addition and scalar multiplication. Determine which sets are complex vector spaces under the given operations. For those that are not, list all axioms that fail to hold.
The set of all complex 2 Ã— 2 matrices of the form

with the standard matrix operations of addition and scalar multiplication.

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