Let p be an odd prime number and T p be the following set of 2 × 2 matrices : The number…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let p be an odd prime number and Tp be the following set of 2 × 2 matrices :
The number of A in Tp such that det (A) is not divisible by p is
The number of A in Tp such that det (A) is not divisible by p is
- 2p2
- p3 – 5p
- p3 – 3p
- p3 – p2
Answer
(D) p 3 – p 2
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