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Let p be an odd prime number and Tp, be ...

Let p be an odd prime number and `T_p`, be the following set of `2 xx 2` matrices `T_p={A=[(a,b),(c,a)]:a,b,c in {0,1,2,.........p-1}}` The number of A in `T_p`, such that A is either symmetric or skew-symmetric or both, and det (A) divisible by p is

A

`2p^(2)`

B

`p^(3)-5p`

C

`p^(3)-3p`

D

`p^(3)-p^(2)`

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The correct Answer is:
D
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