determinant

UK: dɪˈtɜːmɪnənt | US: dɪˈtɜːrmɪnənt

Definition
  1. n. a factor or circumstance that decisively affects the nature or outcome of something

  2. n. (Mathematics) a scalar value derived from a square matrix, used in solving systems of linear equations and other calculations

  3. adj. serving to determine or decide something

Structure
deter <limit, bound>min <small, lesser>ant <noun/adjective suffix>
Etymology

The word "determinant" traces back to Latin determinare ("to limit, settle"), combining de- (completely) + terminare (to bound, from terminus "boundary"). The morpheme "min" reflects the Latin root minuere ("to lessen"), suggesting a narrowing down to decisive factors. Over time, it evolved in mathematics (18th century) to denote a value that "determines" properties of a matrix. The suffix "-ant" marks it as an agent noun or adjective.

Examples
  1. Education is a key determinant of career success.

  2. The determinant of this matrix must be calculated to solve the equation.

  3. Social support can be a determinant in mental health recovery.

  4. The study identified income as the primary determinant of lifestyle choices.

  5. In algebra, a zero determinant indicates a singular matrix.