$A$ is similar to $B$ in $E$ if only if $A$ is similar to $B$ in $F$.

Asked Jul 17 '13 at 19:10

Active Jul 17 '13 at 19:10

Viewed 143 times

If $E$ is a field, $F/E$ is a field extension, let $A$ and $B$ be two matrices with entries in $E$ then $A$ is similar to $B$ in $E$ if only if $A$ is similar to $B$ in $F$. I think it's true, but I don't know how to prove it. Any suggestion? Thanks.

asked Jul 17 '13 at 19:10

Yeyeye

1,199

Related: http://math.stackexchange.com/questions/35937/similar-matrices-over-different-fields – Jul 17 '13 at 19:56

$A$ is similar to $B$ in $E$ if only if $A$ is similar to $B$ in $F$.

0 Answers0