From Wikipedia, a Jordan canonical form can be written in terms of its Jordan blocks as :
$J=J_{a_1}(\lambda_1)\oplus J_{a_2}(\lambda_2)\oplus\cdots\oplus J_{a_n}(\lambda_n), $
I was wondering what matrix operation $\oplus$ is? Thanks!
From Wikipedia, a Jordan canonical form can be written in terms of its Jordan blocks as :
$J=J_{a_1}(\lambda_1)\oplus J_{a_2}(\lambda_2)\oplus\cdots\oplus J_{a_n}(\lambda_n), $
I was wondering what matrix operation $\oplus$ is? Thanks!
It's the direct sum of matrices: "Direct Sum of Matrices" at Wikipedia.
To better understand this, you should read about direct sums of vector spaces: "Direct Sum of Modules: Construction for Vector Spaces and Abelian Groups" at Wikipedia.