Let C be a 2 × 2 matrix such that x is an eigenvalue of C with multiplicity two(adsbygoogle = window.adsbygoogle || []).push({});

and dimNul(C − xI) = 1.

Prove that C = P |x 1|P^−1

|0 x|

for some invertible 2 × 2

matrix P.

I'm not sure where to start

EDIT

|x 1|

|0 x| is the matrix I don't know why it's not posting the way I want it

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

Dismiss Notice

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!

# Eigenvalues for matrices proof

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