The matrix in C*-algebra

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Let $A$ be a C*-algebra and $A^{**}$ be the double adjoint of $A$. Can we conclude $M_{n}(A^{**})\cong (M_{n}(A))^{**}$?

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This is true for all $C^*$ algebras, see paragraph 2.2.11 in this lecture notes by D. P. Blecher.