In mathematics, an arrangement of numbers or other elements in rows and columns that forms a rectangular shape.
example
Um das lineare Gleichungssystem zu lösen, stellen wir es zuerst als Matrix dar.
To solve the system of linear equations, we first represent it as a matrix.
Usage tips
Mostly technical language
Most meanings of 'Matrix' belong to technical language (mathematics, biology, technology). Pay close attention to the context to understand which field is meant, since the meanings are very different.
EXAMPLE
Der Begriff „Matrix“ wird in der Biologie anders verwendet als in der Mathematik.
The term 'Matrix' is used differently in biology than in mathematics.
Typical verbs (mathematics)
When 'Matrix' is used in a mathematical context, you often hear verbs such as 'aufstellen' (to set up), 'lösen' (to solve), 'berechnen' (to calculate), or 'multiplizieren' (to multiply).
EXAMPLE
Wir müssen diese Matrix mit einem Vektor multiplizieren, um das Ergebnis zu erhalten.
We have to multiply this matrix by a vector to get the result.
Cultural context
The figurative meaning of a 'simulierte Realität' (simulated reality) comes from the film 'The Matrix'. Today it is used colloquially for complex systems that are hard to see through.
EXAMPLE
Manchmal fühlt sich der Büroalltag an wie eine Matrix aus Regeln und Erwartungen.
Sometimes everyday office life feels like a matrix of rules and expectations.
Context: biology
In biology, the matrix is the basic substance in which cells are embedded. You often hear the term in connection with 'Gewebe' (tissue), 'Zellen' (cells), or 'extrazellulär' (extracellular).
EXAMPLE
Die extrazelluläre Matrix ist für die Stabilität des Gewebes verantwortlich.
The extracellular matrix is responsible for the stability of the tissue.
Compare with
near_synonym · confusable
Matrix vs Form
form / shape
'die Form' and 'die Matrix' can both mean a tool that gives something a particular shape. 'die Form' is the normal everyday word, for example in baking or casting. 'die Matrix' is much more specific and sounds technical; it means a mold or die used to make impressions or identical parts. Learners may confuse the words because both can shape something. In normal situations, however, people almost always say 'Form'. 'Matrix' fits better in technology, production, or specialist language.
Matrix
In der Werkstatt wird eine Matrix für die kleinen Metallteile vorbereitet.
In the workshop, a die is being prepared for the small metal parts.