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How Can I put some numbers in a symbolic variables and sum its cells?

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I have the matrix [A]= [ a*(x^2)+y , b(y^3)+x ; d*(x^2)*y , c*y ].
and I have the matrix [B]=[1 2;3 4] which the first column of [B] is x and the socond culomn Of [B] is y .
I want to put x=1 and y=2 then x=3 and y=4 and sum A11. then do it for other cells.

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