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

catsarebad
Messages
69
Reaction score
0
the actual problem is to show that

the given matrix is similar to companion matrix
ijn53.jpg


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.
 
Physics news on Phys.org
chickenwin said:
the actual problem is to show that

the given matrix is similar to companion matrix
ijn53.jpg


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?
 
Thread 'Derivation of equations of stress tensor transformation'

Thread 'Derivation of equations of stress tensor transformation'

Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
View full post »

Similar threads

I Can one find a matrix that's 'unique' to a collection of eigenvectors?
Replies
33
Views
809
Jordan Can. Form of Frobenius map
Replies
1
Views
4K
Finding the canonical form of a quadratic form.
Replies
3
Views
7K
I How can I convince myself that I can find the inverse of this matrix?
Replies
34
Views
3K
MHB Could someone recommend me pure math linear algebra book?
Replies
12
Views
3K
Python Partial pivoting in getting the reduced row echelon form of a matrix
Replies
2
Views
1K
Real and complex canonical forms
Replies
1
Views
3K
MHB 25.3 Find the Jordan Normal Form of A
Replies
7
Views
2K
MHB Determine vec {{x},{y},{3x+2y}} in R^3 form a vec space
Replies
11
Views
2K
MHB How Do You Find the Inverse of a Matrix Using the Adjoint Method?
Replies
15
Views
3K

Hot Threads

Recent Insights

Back
Top