Definition, Meaning & Synonyms
determinant
Noun
/dɪˈtɜːrmɪnənt/
Definition
A determinant is a quantity that can be computed from the elements of a square matrix and encodes certain properties of the matrix.
Examples
- The determinant of a 2×2 matrix can be calculated easily.
- In calculus, the determinant is used to find whether a system of equations has a unique solution.
- Understanding determinants is crucial for advanced studies in linear transformations.
Meaning
In mathematics, particularly in linear algebra, a determinant gives us information about the matrix, such as whether it is invertible or what its volume is in a geometric sense.
Synonyms
- factor
- decisive element
- influence
