"Let [tex]m_T(x), f_T(x)[/tex] denote the minimal and characteristic polynomials of T, respectively. Let k be a scalar. Show that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]m_{T-k}(x) = m_T(x+k)[/tex] and [tex]f_{T-k}(x)=f_T(x+k)[/tex]."

I was able to show that the minimal polynomials were the same. But my argument was based on the minimality of the degree of m_T and it fails for characteristic polynomials.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Characteristic Polynomial

**Physics Forums | Science Articles, Homework Help, Discussion**