How Do You Spell DIAGONALIZE?

Pronunciation: [da͡ɪˈaɡənə͡lˌa͡ɪz] (IPA)

The word "diagonalize" means to transform a matrix into a diagonal matrix through a series of mathematical calculations. Its IPA phonetic transcription is /daɪəɡənəlaɪz/. The spelling of this word is formed by breaking it into three syllables: di-a-go-nal-ize. The "g" and "n" sounds in the middle contribute to the unique spelling of this word. Additionally, the "z" sound at the end distinguishes it from similar sounding words like "diagonalise" in British English. Overall, "diagonalize" is a technical term with a specific and precise spelling.

Meaning and Definition
Common Misspellings
Etymology
Similar spelling words
Conjugate verb
Basic Check Advanced Check

DIAGONALIZE Meaning and Definition

  1. Diagonalize is a verb that refers to the act of transforming a matrix into a diagonal matrix through a specific transformation process. When a matrix is diagonalized, it means that the resulting matrix will have all its values off the main diagonal equal to zero. This implies that the matrix will be a diagonal matrix, where only the elements on the main diagonal possess nonzero values.

    To diagonalize a matrix, one typically uses a matrix similarity transformation, which involves finding a matrix P that, when multiplied by the original matrix A and its inverse P^(-1), produces a diagonal matrix D. This process is commonly used in linear algebra and has various applications in fields such as physics, computer science, and engineering.

    The diagonalization of a matrix is often sought after because it simplifies calculations and allows for further analysis of the matrix properties. It can provide insights into the eigenvalues, eigenvectors, and other important characteristics of the original matrix. Diagonalization can also help in solving systems of linear equations and can be utilized in diverse algebraic and numerical procedures.

Common Misspellings for DIAGONALIZE

  • siagonalize
  • xiagonalize
  • ciagonalize
  • fiagonalize
  • riagonalize
  • eiagonalize
  • duagonalize
  • djagonalize
  • dkagonalize
  • doagonalize
  • d9agonalize
  • d8agonalize
  • dizgonalize
  • disgonalize
  • diwgonalize
  • diqgonalize
  • diafonalize
  • diavonalize
  • diabonalize
  • diagonaluize

Etymology of DIAGONALIZE

The word "diagonalize" is derived from the combination of two root words: "diagonal" and the suffix "-ize".

The word "diagonal" comes from the Latin word "diagonalis" which means "slanting line". It was originally used in mathematics to refer to the line connecting two non-adjacent corners of a polygon or a parallelogram. The Latin word itself is derived from the Greek word "diagonios" which has the same meaning.

The suffix "-ize" is of Greek origin and has been adopted into English to form verbs. It indicates the action of making or transforming something into the form or quality described by the word it is attached to. In this case, the "-ize" suffix is added to "diagonal" to form the verb "diagonalize", meaning to transform or convert a matrix or linear operator into a diagonal form.

Similar spelling words for DIAGONALIZE

Conjugate verb Diagonalize

CONDITIONAL

I would diagonalize
you would diagonalize
he/she/it would diagonalize
we would diagonalize
they would diagonalize

CONDITIONAL CONTINUOUS

I would be diagonalizing
you would be diagonalizing
he/she/it would be diagonalizing
we would be diagonalizing
they would be diagonalizing

CONDITIONAL PERFECT

I would have diagonalize
you would have diagonalize
he/she/it would have diagonalize
we would have diagonalize
they would have diagonalize

CONDITIONAL PERFECT CONTINUOUS

I would have been diagonalizing
you would have been diagonalizing
he/she/it would have been diagonalizing
we would have been diagonalizing
they would have been diagonalizing

FUTURE

I will diagonalize
you will diagonalize
he/she/it will diagonalize
we will diagonalize
they will diagonalize

FUTURE CONTINUOUS

I will be diagonalizing
you will be diagonalizing
he/she/it will be diagonalizing
we will be diagonalizing
they will be diagonalizing

FUTURE PERFECT

I will have diagonalized
you will have diagonalized
he/she/it will have diagonalized
we will have diagonalized
they will have diagonalized

FUTURE PERFECT CONTINUOUS

I will have been diagonalizing
you will have been diagonalizing
he/she/it will have been diagonalizing
we will have been diagonalizing
they will have been diagonalizing

IMPERATIVE

you diagonalize
we let´s diagonalize

NONFINITE VERB FORMS

to diagonalize

PAST

I diagonalized
you diagonalized
he/she/it diagonalized
we diagonalized
they diagonalized

PAST CONTINUOUS

I was diagonalizing
you were diagonalizing
he/she/it was diagonalizing
we were diagonalizing
they were diagonalizing

PAST PARTICIPLE

diagonalized

PAST PERFECT

I had diagonalized
you had diagonalized
he/she/it had diagonalized
we had diagonalized
they had diagonalized

PAST PERFECT CONTINUOUS

I had been diagonalizing
you had been diagonalizing
he/she/it had been diagonalizing
we had been diagonalizing
they had been diagonalizing

PRESENT

I diagonalize
you diagonalize
he/she/it diagonalizes
we diagonalize
they diagonalize

PRESENT CONTINUOUS

I am diagonalizing
you are diagonalizing
he/she/it is diagonalizing
we are diagonalizing
they are diagonalizing

PRESENT PARTICIPLE

diagonalizing

PRESENT PERFECT

I have diagonalized
you have diagonalized
he/she/it has diagonalized
we have diagonalized
they have diagonalized

PRESENT PERFECT CONTINUOUS

I have been diagonalizing
you have been diagonalizing
he/she/it has been diagonalizing
we have been diagonalizing
they have been diagonalizing

Infographic

Correct spelling for diagonalize
Add the infographic to your website: