Exercise a set of objects is given


In the following exercise a set of objects is given, together with operations of addition and scalar multiplication.

Determine whether the set is a vector space under the given operations. If it is not a vector space list all axioms that fail to hold.

The set of all 2 × 2 matrices of the form

a 14
14 b

with the standard matrix addition and scalar multiplication.

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Mathematics: Exercise a set of objects is given
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