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matrices of the form [tex][\begin{array}{cc} a & 2b \\ b & a \\ \end{array} }][/tex]

Show that R is a subring of [tex]Z(integer)[/tex] and [tex]R_{2}[/tex] is a subring of [tex]M_{2} (Z)[/tex]. Also. Prove that the mapping from R to [tex]R_{2}[/tex] is a isomorphism.