# How do you find frobenius canonical form of a matrix?

#### chickenwin

##### New member
the actual problem is to show that

the given matrix is similar to companion matrix

here is the companion matrix

Companion matrix - Wikipedia, the free encyclopedia

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i know that if same frobenius canonical form then similar but i don't even know how to find the frobenius form. could someone point me in the right direcion?

also if i can show that both matrix have same minimal poly then i would be done but i don't see that being easy.

#### Klaas van Aarsen

##### MHB Seeker
Staff member
the actual problem is to show that

the given matrix is similar to companion matrix

here is the companion matrix

Companion matrix - Wikipedia, the free encyclopedia

----------------

i know that if same frobenius canonical form then similar but i don't even know how to find the frobenius form. could someone point me in the right direcion?

also if i can show that both matrix have same minimal poly then i would be done but i don't see that being easy.
Hi chickenwin! Welcome to MHB!

Which eigenvalues and eigenvectors does your matrix have?
Can you find a companion matrix with the same eigenvalues and the same dimension of the eigenspace?