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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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1 Answer

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Correct Answer - D

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