- Access to
**2 Million+**Textbook solutions - Ask any question from
**24/7**available

Tutors

Let p(Î») = (-1 )n(Î»n - Î±n-1Î»n-1 -....- Î±1Î» - Î±o) he a polynomial of degree n ‰¥ I

(a) Show that if Î»i, is a root of p(Î») = 0 then Î»i is an elgenvalue of C with eigenvector x = (Î»in-1,,Î» in-2...... Î»i,1)T ,

(b) Use part (a) to show that if p(Î») has n distinct roots then p(Î») is the characteristic polynomial of C.

The matrix is called the companion matrix of p(Î»).

Members

- Access to
**2 Million+**Textbook solutions - Ask any question from
**24/7**available

Tutors

OR

Non-Members

Get help from** Linear Algebra **Tutors

Ask questions directly from** Qualified Online Linear Algebra Tutors **.

Best for online homework assistance.