Let V be the set of 2x2 matrices with standard definitions for vector addition and scalar multiplication. Determine whether V is a vector space. If V is not a vector space, show that at least one of the 10 axioms does not hold.
Have to show that the set of all real symmetric matrices, that is, the set of all matrices such that A^t=A is a vector space.

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So which axioms are you having trouble showing?

All of them. I just do not understand for some reason.

I can walk you through some of them, and hopefully you'll be able to finish the rest.

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