Determinant of a decomplexified matrix

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Let A be an $n \times n$ matrix with complex entries $$z_{ij} = a_{ij} + I*b_{ij}$$ If AR is its $2n \times 2n$ decomplexified matrix, i. e. the matrix with entries $a_{ij},b_{ij}$

Is it possible to compute det(AR) from det(A) or viceversa?