Hi. i have a 4x4 matrix(adsbygoogle = window.adsbygoogle || []).push({});

\begin{pmatrix}

0 & 1 & 1 & 1\\

1 & 0 & i & -i\\

1 & -i & 0 & i\\

1 & i & -i & 0\\

\end{pmatrix}

it has 2 eigenvalues

and i want to block diagonalize it into a 2x2 block diagonal matrix.

i cant seem to find the proper way to do that. do i need to have a commuting matrix in order to preform block diagonalization?

iv'e tried to follow this

http://en.wikipedia.org/wiki/Jordan_normal_form

but the square of the matrix gives me the same matrix with a constant factor, so i dont get any new equation for the eigenvectors.

**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!

# Block diagonalization of a matrix

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