What does diagonalizable mean?
Definitions for diagonalizable
di·ag·o·nal·iz·able
This dictionary definitions page includes all the possible meanings, example usage and translations of the word diagonalizable.
Princeton's WordNet
diagonalizableadjective
capable of being transformed into a diagonal matrix
GCIDE
diagonalizableadjective
able to be diagonalized; -- of a matrix.
Wiktionary
diagonalizableadjective
Able to be diagonalized.
ChatGPT
diagonalizable
Diagonalizable is a term used in linear algebra to refer to a particular type of matrix or linear operator. Specifically, a square matrix (or a linear operator) is said to be diagonalizable if there exists an invertible matrix such that when the original matrix is conjugated by this invertible matrix, the result is a diagonal matrix, where all off-diagonal entries are zero. Essentially, a matrix is diagonalizable if it is similar to a diagonal matrix. This property is crucial in many areas of linear algebra, including the study of eigenvalues and eigenvectors.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of diagonalizable in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of diagonalizable in Pythagorean Numerology is: 1
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Translations for diagonalizable
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- diagonalizableSpanish
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"diagonalizable." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/diagonalizable>.
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