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## Homework Statement

need to show companion matrix is similar to the following matrix

## Homework Equations

here is the companion matrix

http://en.wikipedia.org/wiki/Companion_matrix

information on matrix similarity

http://en.wikipedia.org/wiki/Matrix_similarity

## The Attempt at a Solution

say given matrix is A and companion matrix is C then need to show

A = P^-1 * C * P for some invertible matrix P

i guess i could reduce guesswork by rewriting as

P*A = C*P

but even then it does not seem to be the ideal way to go about things.

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