Let \( T_{5} \) be the set of matrices of order \( 2 \times 2 \) su...

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Let \( T_{5} \) be the set of matrices of order \( 2 \times 2 \) such that
\( \mathrm{P} \) \( T_{5}=\left\{A: A=\left[\begin{array}{ll}a & b \\ c & a\end{array}\right]\right. \), where \( \left.a, b, c \in\{0,1,2,3,4\}\right\} \) then the total number of possible matrices \( A \) such that \( \operatorname{det}(A) \) is not divisible by ' 5 ' is
(1) 51
(2) 100
(3) 101
(4) 115
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