diagonalized
Upper-Intermediate (B2)
IPA: /daɪˈæɡənəlaɪzd/
KK: /daɪˈæɡənəlaɪzd/
adjective
Definition
Changed into a form where the elements outside the main diagonal are zero, often used in mathematics and linear algebra.
Example
The matrix was diagonalized to simplify the calculations.
Conversation
Did you hear about the new method for solving matrices?
Yeah, I heard it can be diagonalized much faster now.
That sounds interesting! How does it work exactly?
They use a different algorithm that simplifies the process of getting a diagonalized form.
Synonyms & Antonyms
Synonyms
transformed
converted
aligned
Antonyms
disordered
scattered
random
verb
Definition
To change a matrix into a diagonal form, where all the non-diagonal elements are zero, often used in mathematics and linear algebra.
Example
The mathematician diagonalized the matrix to simplify the calculations.
Tense Forms
Past: diagonalized
Past Participle: diagonalized
Conversation
Did you finish that math assignment we talked about?
Yeah, I finally diagonalized the matrix like the professor suggested.
Nice! I was struggling with that part.
Root Explanation
Diagonalized → It is formed from "diagonal" (from Greek "diagonalis", meaning slanting across) and the suffix "-ized" (meaning to make or to become). The word "diagonalized" means to make something into a diagonal form or representation.
Memory Tip
Think of something being made to slant across — that's what diagonalized means, as it transforms into a diagonal shape.
Visually Confused Words
No commonly confused words.