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Diagonalize vs Diagonalizability - What's the difference?

diagonalize | diagonalizability |

As a verb diagonalize

is (mathematics|transitive) to convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.

As a noun diagonalizability is

the ability to be diagonalized.

diagonalize

English

Verb

(en-verb)
  • (mathematics) To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.

    • diagonalizability

    English

    Noun

    (-)
  • The ability to be diagonalized.
  • * 2009 January, Bernard Russo and James J. Tattersall, "Program of the Sessions: Washington, District of Columbia, January 5–8, 2009", Notices of the American Mathematical Society , 56:1[http://www.ams.org/notices/200901/], page 158:
    • 10:30AM (1060) Linear maps preserving diagonalizability on the space of upper triangular matrices. Preliminary report. A. A. Jafarian, University of New Haven

    External links

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