Matrices and Determinants

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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

Question : 52 of 56

Marks: +1, -0

The number of A in Tp such that det (A) is not divisible by p is

[JEE Adv 2010 P1]

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