How to multiply these two matrices

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Let $\mathbf{A}=[a_{ij}]$ be a matrix of size $n\times n$. Let there be a Vandermonde matrix $\mathbf{V}=v_j^{i-1}$. Let $\mathbf{C}=\mathbf{A}V^{1/2}$.If I want to calculate the determinant of $\mathbf{C}$, how can I express its elements $c_{ij}$?? Please note that I have to perform integration on each of these elements and then calculate the final determinant. So I am looking for an expression for $c_{ij}$.