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Definitions from WordNet

Definitions from the Web

Diagonalizable

Description:

Diagonalizable is a mathematical term used to describe a square matrix that can be transformed into a diagonal matrix by means of a similarity transformation. It signifies the ability to simplify complex calculations by converting the matrix into a simpler diagonal form.

Senses and Usages:

Sense 1:

(Adjective) - In the context of linear algebra

Example Sentence: The matrix A is diagonalizable if and only if there exists an invertible matrix P such that P^-1AP is a diagonal matrix.

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Sense 2:

(Verb) - Present Participle of "diagonalize"

Example Sentence: She is currently diagonalizing the matrix to simplify its calculations.

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