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Let \( A \) be the \( 2 \times 2 \) matrix given by \( A=\left[a_{i j}\right] \) where \( a_{i j} \in\{0,1,2,3,4\} \) such that \( a_{11}+a_{12}+a_{21}+a_{22}=4 \) then which of the following statement(s) is/are true ?
(1) Number of matrices \( A \) such that the trace of \( A \) is equal to 4 , is 5
(2) Number of matrices \( A \), such that \( A \) is invertible is 18
(3) Absolute difference between maximum value and minimum value of \( \operatorname{det}(A) \) is 8
(4) Number of matrices \( A \) such that \( A \) is either symmetric (or) skew symmetric and det \( (A) \) is divisible by 2 , is 5 .
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