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How to pronounce "diagonalize" in English

diagonalize is pronounced with standard English phonetics. Hear authentic native speakers pronounce it in 189 clips with synchronized subtitles and timestamps below.

di·a·go·na·lize

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Hear native speakers say diagonalize in context across real video clips

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Syllablesdi · a · go · na · lize
Hear it in contextUS
6:21

You have to diagonalize. You diagonalize it two by two or you diagonalize all of the little cases where this is violated. diagonalize all of the little cases where this is violated.

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Linguistic Pronunciation Masterclass: “diagonalize”

Phonetic mechanics, syllable architecture, and conversational cadence

Syllable Architecture & Stress Distribution

Syl. 1Unstressed

di

Reduced vowel sound, relaxed jaw, and minimal vocal effort.

Syl. 2Unstressed

a

Reduced vowel sound, relaxed jaw, and minimal vocal effort.

Syl. 3Unstressed

go

Reduced vowel sound, relaxed jaw, and minimal vocal effort.

Syl. 4Unstressed

na

Reduced vowel sound, relaxed jaw, and minimal vocal effort.

Syl. 5Unstressed

lize

Reduced vowel sound, relaxed jaw, and minimal vocal effort.

Keep the vowel length balanced, placing subtle emphasis on the root morpheme according to standard conversational rhythm.

Common Pronunciation Traps & Learner Mistakes

⚠️ Unstressed Syllable Vowel Reduction (Schwa ⁄ə⁄)

The Trap: Avoid pronouncing every vowel with full acoustic weight. Non-native speakers often over-enunciate unstressed vowels.

How Native Speakers Say It: Only give full vowel clarity to the primary stressed syllable. Relax all unstressed vowels into a neutral, low-energy schwa (⁄ə⁄).

Connected Speech & Natural Conversational Flow

🔗 Consonant-Vowel Linking (Liaison)

When followed by a vowel, insert a subtle glide (/w/ or /j/) to connect into the subsequent word without an abrupt glottal stop.

⏱️ Stress-Timed Rhythm

Maintain the stress-timed rhythm of English: compress unstressed syllables rapidly so the beat of "diagonalize" aligns naturally with adjacent words.

Authentic Spoken Quotes from Native Video Context

Verified Transcripts
“You diagonalize it two by two or you diagonalize all of the little cases where this is violated.”
— MIT OpenCourseWareWatch clip
“diagonalize A with an orthogonal matrix if A is symmetric.”
— StanfordWatch clip
“diagonalize. Just the mere fact that our number has a unique representation already means that it's not equal to those numbers. So maybe it”
— Native SpeakerWatch clip
“essentially to diagonalize the system. Now, when you diagonalize, it's kind of stupid, because if A and if A is diagonal, and I ask you”
— StanfordWatch clip
“But while you cannot diagonalize these things, you can find special states that are eigenstates of all”
— MIT OpenCourseWareWatch clip
“can't diagonalize it everywhere”
— StanfordWatch clip
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Practice Speaking “diagonalize”

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You diagonalize it two by two or you diagonalize all of the little cases where this is violated.

Hear it in context: “diagonalize”

189 clips

The English word “diagonalize”. Phonologically, it consists of 5 syllables (di · a · go · na · lize). Grammatically, “diagonalize” functions as a verb. SayItVid indexes 189 authentic English video clips demonstrating how native speakers articulate “diagonalize” in natural connected speech across American (US: 8 sampled), British (UK), and Australian (AUS) accents, including verified broadcasts from MIT OpenCourseWare, Stanford.

Spoken Video Transcripts & Contextual Quotes (5 Verified Clips)

  • 🇺🇸 USMIT OpenCourseWare
    Clip #1 · @6:21
    “You have to diagonalize. You diagonalize it two by two or you diagonalize all of the little cases where this is violated. diagonalize all of the little cases where this is violated.”
  • 🇺🇸 USStanford
    Clip #2 · @44:43
    “transpose AQ, is lambda. So, another way to say it is you can diagonalize A with an orthogonal matrix if A is symmetric. That's the that's the condition. Okay. Now,”
  • 🇺🇸 US
    Clip #3 · @32:59
    “numbers. And so actually, in those cases, we didn't need to do anything special to diagonalize. Just the mere fact that our number has a unique representation already means that it's not equal to those numbers. So maybe it already means that it's not equal to those numbers. So maybe it”
  • 🇺🇸 USMIT OpenCourseWare
    Clip #4 · @6:19
    “You can't use ordinary perturbation theory. You have to diagonalize. You diagonalize it two by two or you”
  • 🇺🇸 USStanford
    Clip #5 · @6:03
    “that's actually the the key to all of these things. So, the way to do this is essentially to diagonalize the system. Now, when you diagonalize, it's kind of stupid, because if A and if A is diagonal, and I ask you stupid, because if A and if A is diagonal, and I ask you”

Definition & Meaning: “diagonalize”

VERB
  • To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.
  • To design variables such that design problems only bear upon subsets that are loosely coupled to others.

Example Sentences (3)

  • “And what we should do, therefore, is to diagonalize the variables—we should find some new design variables such that design problems only bear upon subsets of them that are loosely coupled to others, like the subsystems of ten lights in the example.”
  • “You diagonalize it two by two or you diagonalize all of the little cases where this is violated.”
  • “diagonalize A with an orthogonal matrix if A is symmetric.”

Common Phrases & Collocations

violated diagonalizecannot diagonalize

Pronounce: “diagonalize”

Syllables:
di · a · go · na · lize
Hear it in context
diagonalize

Words that Sound Identical (Homophones)

Unique Sound
Explore 800+ homophone pairs

"diagonalize" has no true homophones in standard English — there are no other words with identical pronunciation. Unlike sound-alike pairs like there / their or peace / piece, "diagonalize" has a completely distinct phonetic identity.

Frequently asked questions about diagonalize

How many syllables are in “diagonalize”?

“diagonalize” has 5 syllables: di · a · go · na · lize.

What does “diagonalize” mean?

To convert a square matrix into a diagonal matrix by multiplying it by a second matrix and its inverse.

How can I hear “diagonalize” used in real sentences?

This page has 189 real-world video examples of “diagonalize” with synchronized subtitles. Use Previous / Next (or ← / → keys) to hear each one at the exact moment it is spoken.

What is the most common pronunciation mistake when saying “diagonalize”?

Avoid pronouncing every vowel with full acoustic weight. Non-native speakers often over-enunciate unstressed vowels. Only give full vowel clarity to the primary stressed syllable. Relax all unstressed vowels into a neutral, low-energy schwa (⁄ə⁄).