PlanetMath: diagonalizable

(more info)

Math for the people, by the people.

Main Menu

diagonalizable

(Definition)

A square matrix over any field is diagonalizable if it is similar to a diagonal matrix. Sometimes such matrices are said to be diagonable.

"diagonalizable" is owned by Mathprof.

(view preamble)

Other names:

diagonalizable matrix, diagonalizable matrices

Also defines:

diagonable

Log in to rate this entry.
(view current ratings)

Cross-references: matrices, diagonal matrix, similar, field, square matrix
There are 21 references to this entry.

This is version 5 of diagonalizable, born on 2006-06-17, modified 2007-06-05.
Object id is 8056, canonical name is Diagonalizable2.
Accessed 4420 times total.

Classification:

15A21 (Linear and multilinear algebra; matrix theory :: Canonical forms, reductions, classification)

Pending Errata and Addenda

None.[ View all 3 ]

Discussion

forum policy

No messages.

Interact