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The main goal of this article is to establish several new upper and lowerbounds for the $\mathbb{A}$-numerical radius of $2\times 2$ operator matrices,where $\mathbb{A}$ be the $2\times 2$ diagonal operator matrix whose diagonalentries are positive bounded operator $A$.

On $\mathbb{A}$-numerical radius inequalities for $2\times2$ operator matrices-II