diagonalisable การใช้

But no non-zero symmetric matrix can be nilpotent, since it is diagonalisable.
The following theorem characterises simultaneously diagonalisable matrices : A set of diagonalizable matrices commutes if and only if the set is simultaneously diagonalisable.
The following theorem characterises simultaneously diagonalisable matrices : A set of diagonalizable matrices commutes if and only if the set is simultaneously diagonalisable.
If the matrix " M " is diagonalisable, then it is regular if and only if there are " n " different eigenvalues.
The eigenvalues of " S " are not always distinct : there may be repeated roots, there may be complex roots, and " S " may not always be diagonalisable.