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## Main Question or Discussion Point

Can isomorphism of matrix groups

[tex]\phi: G_1 \rightarrow G_2[/tex]

always be expressed by

[tex]\phi(M) = S M S^{-1}[/tex]?

[tex]\phi: G_1 \rightarrow G_2[/tex]

always be expressed by

[tex]\phi(M) = S M S^{-1}[/tex]?