In this paper, we show that bounded Hochschild homology and co-homology of associated matrix Banach algebra G(A, R, S, B) to a Morita context M(A, R, S, B, { }, [ ]) are isomorphic to those of the Banach algebra A: Consequently, we indicate that the n-amenability and simplicial triviality of G(A, R, S, B) are equivalent to the n-amenability and simplicial triviality of A.