Let A be an n x n matrix; denote its distinct eigenvalues by a_1,...,a_k and denote the index of a_i by d_i. How do I prove that the minimal polynomial is then:(adsbygoogle = window.adsbygoogle || []).push({});

m_A(s) = (s-a_1)^d_1*...*(s-a_k)^d_k

?

The characterstic polynomial is defined as:

p_A(s) = (s-a_1)*...*(s-a_n);

**Physics Forums - The Fusion of Science and Community**

# Minimal Polynomial A nxn Matrix

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Minimal Polynomial A nxn Matrix

Loading...

**Physics Forums - The Fusion of Science and Community**