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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.

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Other names:

diagonalizable matrix, diagonalizable matrices

Also defines:

diagonable

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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 7203 times total.

Classification:

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

Pending Errata and Addenda

None.[ View all 3 ]

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