diff --git a/_posts/2024-07-24-Simultaneous-Matrix-Diagonalization.md b/_posts/2024-07-24-Simultaneous-Matrix-Diagonalization.md index 223dad5c3139b..a3501ce4b2e99 100644 --- a/_posts/2024-07-24-Simultaneous-Matrix-Diagonalization.md +++ b/_posts/2024-07-24-Simultaneous-Matrix-Diagonalization.md @@ -1,3 +1,10 @@ +--- +layout: post +title: Simultaneous Matrix Diagonalization +permalink: /blog/simultaneous-matrix-/ +published: false +--- + -A matrix is diagonalizable if it has full set of eignevectors i.e. an n x n eigenvector has n linearly independent eignevectors. -A group of matrices are simultaneouly diagnonalizable if they are individually diagonalizable and mutually commute. - The shift operator and its anjoint commute with ciruclant matrices. Rather it can be said that a matrix is circulant iff it communtes with the shift operator