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  1. E

    Find a basis for the space of 2x2 symmetric matrices

    The space of 2x2 matrices is in general isomorphic to a very familiar space. Think about the way addition of matrices and scalar multiplication work, and you should figure this out (and if you think about this for a while, you might realize a more general property about finite vector spaces...
  2. E

    P-adic volume of p-adic circle.

    I would guess you'd need measure and integration. I think Koblitz's P-adic numbers, p-adic analysis, and zeta-functions covers this. That said, are you sure this curve encloses a finite area?