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Let p be an odd prime number and Tp be the following set of 2 × 2 matrices:

Tp = {A=[

a	b
c	d

]:a,b,c∊{0,1,...,p−1}}

Section: Mathematics

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Question : 50

Total: 56

The number of A in Tp such that A is either symmetric or skew-symmetric or both, and det(A) divisible by p is

[JEE Adv 2010 P1]

(p−1)2
2 (p - 1)
(p−1)2+1
2p - 1

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