Consider the set F = {1, −1, i, −i} with an operation ✕ defined by the table. ✕ 1 −1 i −i 1 1 −1 i −i −1 −1 1 −i i i i −i −1 1 −i −i i 1 −1 a ✕ b means find the entry in row a and column b; for example, −1 ✕ (−i) = i (the entry in row −1 and column −i). Find each of the following. (a)    −1 ✕ i     (b)    i ✕ i     (c)    −i ✕ i     (d)    −i ✕ 1     (e)    1 ✕ i     (f)    −i ✕ −i

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