Definition

Able to be arranged in a diagonal form, especially in mathematics when referring to matrices that can be transformed into a diagonal matrix.

Example

The matrix is diagonalizable, which simplifies the calculations for its eigenvalues.

Conversation

Hey, do you remember our math class yesterday?

Yeah, we talked about whether matrices are diagonalizable or not.

Right! I was confused about what that really means.

It's all about whether you can simplify them into a diagonal form.

Synonyms & Antonyms

Root Explanation

Diagonalizable → It is formed from "diagonal" (from Greek "diagonalis", meaning slanting across) and "-izable" (meaning capable of being). The word "diagonalizable" refers to something that can be expressed in a diagonal form.

Memory Tip

Think of something that can be made to 'slant across' ('diagonal') and is 'capable of being' transformed ('-izable'). This helps you remember that diagonalizable means something that can be expressed in a diagonal way.

Visually Confused Words