submatrix: meaning, definition, pronunciation and examples

C1/C2
UK/ˈsʌb.meɪ.trɪks/US/ˈsʌb.meɪ.trɪks/

Formal, Technical

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Quick answer

What does “submatrix” mean?

A smaller matrix obtained from a larger matrix by deleting some of its rows and/or columns.

Audio

Pronunciation

Definition

Meaning and Definition

A smaller matrix obtained from a larger matrix by deleting some of its rows and/or columns.

Any matrix that forms a component part of a larger matrix, typically defined by selecting a contiguous block of entries. In computing/data contexts, can refer to a subset of a larger data array.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage. Spelling follows standard conventions ('analyse a submatrix' UK, 'analyze a submatrix' US).

Connotations

None beyond its technical meaning.

Frequency

Equally rare outside technical fields in both varieties.

Grammar

How to Use “submatrix” in a Sentence

submatrix of [matrix]submatrix formed by [rows/columns]submatrix corresponding to

Vocabulary

Collocations

strong
extract a submatrixform a submatrixprincipal submatrixleading submatrix
medium
square submatrixblock submatrixrows of the submatrixcolumns of the submatrix
weak
small submatrixlarger submatrixspecific submatrixcorresponding submatrix

Examples

Examples of “submatrix” in a Sentence

verb

British English

  • We need to submatrix the covariance table to analyse the relevant variables.

American English

  • The algorithm will submatrix the data array to improve processing speed.

adjective

British English

  • The submatrix operations were crucial for the proof.

American English

  • We performed a submatrix analysis on the dataset.

Usage

Meaning in Context

Business

Extremely rare. Might appear in highly technical data analysis reports.

Academic

Common in mathematics, computer science, physics, and engineering papers dealing with linear algebra, data structures, or numerical methods.

Everyday

Virtually never used.

Technical

Core term in linear algebra, matrix theory, scientific computing, and machine learning (e.g., manipulating submatrices for efficiency).

Vocabulary

Synonyms of “submatrix”

Neutral

blockminor (in specific contexts)sub-array

Weak

sectionsubset (conceptual, not mathematical)partition

Vocabulary

Antonyms of “submatrix”

supermatrixfull matrixcomplete matrix

Watch out

Common Mistakes When Using “submatrix”

  • Using 'submatrix' to refer to any small matrix (it must be derived from a larger one).
  • Misspelling as 'sub-matrix' (the standard form is one word).

FAQ

Frequently Asked Questions

It is standardly written as one word: 'submatrix'.

Primarily in mathematics (linear algebra), computer science, data science, engineering, and any field that uses matrix computations.

No. A submatrix must be obtainable by deleting specific rows and/or columns from a specified larger matrix. A random small matrix is not a submatrix unless it has that derived relationship.

The standard plural is 'submatrices' (following the pattern of matrix/matrices). 'Submatrixes' is less common.

A smaller matrix obtained from a larger matrix by deleting some of its rows and/or columns.

Submatrix is usually formal, technical in register.

Submatrix: in British English it is pronounced /ˈsʌb.meɪ.trɪks/, and in American English it is pronounced /ˈsʌb.meɪ.trɪks/. Tap the audio buttons above to hear it.

Learning

Memory Aids

Mnemonic

Think of a SUBmarine as a smaller vessel operating within a larger body of water. A SUBmatrix is a smaller matrix operating within a larger one.

Conceptual Metaphor

A MATRIX IS A CONTAINER (from which a submatrix is extracted).

Practice

Quiz

Fill in the gap
The principal is obtained by deleting the last row and column of the original matrix.
Multiple Choice

What is a 'submatrix'?