matrix

matrix — noun

1. the set of social, political, or cultural conditions that surround and influence

1.nounB2
Definition

the set of social, political, or cultural conditions that surround and influence the way a person, group, or thing develops over time.

Example

The country's legal matrix made it difficult for small businesses to succeed.

collocation: legal matrix / social matrix / cultural matrix

Élise grew up within a complex cultural matrix shaped by three different traditions.

Common collocations
  • cultural matrix
  • social matrix
  • political matrix
  • legal matrix
  • complex matrix
  • matrix of relationships
Synonyms
  • context

    more general and less formal; can refer to any surrounding circumstances, not necessarily developmental

  • framework

    emphasises structure and organisation more than the surrounding conditions themselves

  • environment

    broader in meaning; can include physical surroundings as well as abstract conditions

  • setting

    more concrete; often refers to a specific place or time rather than abstract conditions

Grammar Patterns

matrix of [something]

Usage Note

Subject of the sentence is typically an abstract entity such as culture, politics, society, or law. This sense is most common in academic or formal writing.

Common Mistakes

The social matrix of the community was very strong.
The social environment of the community was very strong.
Use 'social environment' instead of 'social matrix' when you mean a supportive community rather than a set of conditions for growth.

2. a rectangular grouping of numbers or symbols laid out in a grid pattern, used in

2.nounB1
Definition

a rectangular grouping of numbers or symbols laid out in a grid pattern, used in mathematics for calculations that involve several values at once.

Example

The data scientist arranged the survey results into a matrix to look for patterns.

In class, Andrés learned how to multiply two matrices together using a formula.

plural: matrices (standard); not matrixes

Common collocations
  • square matrix
  • matrix multiplication
  • inverse of a matrix
  • rows and columns
  • matrix of numbers
  • identity matrix
Synonyms
  • array

    often used in computing and programming to mean a similar rectangular structure, though arrays can have more than two dimensions

  • grid

    less formal; refers to any criss-cross arrangement and does not carry the same mathematical operations

Grammar Patterns

[number] × [number] matrix

matrix of [numbers / symbols]

Usage Note

The most common plural form is 'matrices' (pronounced /ˈmeɪtrɪsiːz/), following the Latin plural. 'Matrixes' is accepted but much less common. This sense appears frequently in secondary-school and university-level mathematics.

Common Mistakes

I drew a matrix with a graph.
I drew a matrix with rows and columns.
A matrix is an array of values, not a graph or chart.

3. a natural or manufactured material that surrounds, holds, or contains other item

3.nounB2
Definition

a natural or manufactured material that surrounds, holds, or contains other items, such as minerals, fossils, crystals, or biological cells.

Example

The fossil was buried inside a matrix of fine-grained limestone for millions of years.

collocation: rock matrix / limestone matrix

In connective tissue, cells are spread through a matrix of collagen fibres.

domain: biology — extracellular matrix

Common collocations
  • rock matrix
  • extracellular matrix
  • surrounding matrix
  • mineral matrix
  • collagen matrix
  • bone matrix
Synonyms
  • substrate

    more specific to biology and geology; implies a surface or layer that lies underneath

  • medium

    can mean the same but is broader; used in art, biology, and communications

  • groundmass

    a specialised geology term for the fine-grained part of a rock containing larger crystals

Grammar Patterns

matrix of [substance]

Usage Note

In biology, 'extracellular matrix' is a fixed term referring to the web of proteins and other molecules outside animal cells. In geology, 'matrix' refers to the fine-grained rock material that surrounds larger crystals, fossils, or gemstones.

Word family

  • matrices
    nounB2
  • matriculate
    verbC1
  • matriculation
    nounC1
  • matrilineal
    adjectiveC1

Synonym discussion

Sense: noun/1

These words all describe the surroundings in which something exists or develops, but they differ in scope and formality. 'Context' (B1) is the broadest and most neutral — it refers to the circumstances that surround an event or idea ('In the context of the 1990s, this policy made sense'). 'Environment' (A2) is the most everyday word and can be physical or abstract ('a supportive learning environment'). 'Framework' (B2) emphasises structure: the underlying system of rules or ideas that supports something ('a legal framework for protecting consumers'). 'Setting' (B1) is more concrete, often tied to a specific place or time ('the setting of the novel was Victorian London'). 'Matrix' (B2) is the most formal and specialised of the group; it suggests a complex web of interconnected conditions where things originate or grow, and it is rarely used in everyday conversation. For example, you would say 'teachers shape a child's learning environment' in daily speech, but 'the cultural matrix that shapes a child's worldview' only in formal or academic writing.

Common collocations

Nouns

  • matrix multiplication (maths)
  • matrix inversion (maths)

Phrases

  • the matrix of [something]
  • embedded in a matrix
  • arranged into a matrix

Prepositions

  • in a matrix
  • within a matrix
  • into a matrix
  • outside of a matrix

Etymology

LatinFrenchEnglish

The word 'matrix' comes from Latin 'matrix' meaning 'womb' or 'female animal for breeding', which itself comes from 'mater' meaning 'mother'. The original idea was of something that gives birth to or contains something else. In English, the anatomical sense ('the womb') appeared first, followed by the geological and biological senses of a surrounding material. The mathematical sense — a rectangular array of numbers — was introduced in the 19th century by the mathematician James Joseph Sylvester, who saw the numbers as 'giving birth' to new results when combined.