1.

Let P be an odd prime number and T_(p) be the following set of 2xx2 matrices : The number of A in T_(p) such that the trace of a is not divisible by p but det (A) divisible by p is [Note : The trace of matrix is the sum of its diaginal entries].

Answer»

<P>`(p-1) (p^(2)-p+1)`
`p^(3)-(p-1)^(2)`
`(p-1)^(2)`
`(p-1) (p^(2)-2)`

ANSWER :C


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