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Instructions
Let p be an odd prime number and $$T_p$$ be the following set of $$2 \times 2$$ matrices:
$$T_p = \left\{A = \begin{bmatrix}a & b \\c & a \end{bmatrix}:a, b, c \in \left\{0, 1, 2, ...., p-1\right\}\right\}$$
Question 42
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
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