D. Given the assigned set F with operations + and * and the assigned Cayley table, assuming that F is a ring with additive identity 0, prove that F is a field by doing the following: + O e f O e B h O e JO O 00 0 0 0 Ot JO 1. Define the commutative property of * and demonstrate that F satisfies this property. 2. Define the identity property of * and demonstrate there is an identity for F under the operation 3. Define a unit in the context of a field and demonstrate that each nonzero element of F is a unit under the operation *