What matrices commute with all other matrices?
What matrices commute with all other matrices? identity matrix The identity matrix commutes with all matrices. Every diagonal matrix commutes with all other diagonal matrices. What does it mean to be simultaneously diagonalizable? A set of matrices is said to be simultaneously diagonalizable if there exists a single invertible matrix such that is a diagonal matrix for every. in the set. What does it mean if two matrices commute? A particular case when orthogonal matrices commute. Orthogonal matrices are used in geometric operations as rotation matrices and therefore if the rotation axes (invariant directions) of the two matrices are equal...