Matrices and Determinants
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Let p be an odd prime number andT p be the following set of 2 × 2 matrices:
T p = { A = [
] : a , b , c ∊ { 0 , 1 , . . . , p − 1 } }
Let p be an odd prime number and
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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
[JEE Adv 2010 P1]
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