Skip to main content
Glite Dictionary
🟦 Smooth or regular 🔄 Invertible
nonsingular

nonsingular

8.8
A matrix or equation with one solution that can be inverted
  • adjective
  • /nɒnˈsɪŋɡjələr/
  • Specialized
translation icon : invertible
  • The system's solutions exist only if the coefficient matrix is nonsingular and not singular.

Examples

  • If the covariance matrix is nonsingular, then the following things happen.

  • A nonsingular matrix can be inverted, making it essential for various linear algebra applications.

  • I know that this matrix is nonsingular, right?

  • But CX = s - 1/2BX* and the same results apply to CX as S - 1/2 is nonsingular.

    Academic text (1990)

  • A is A is square and nonsingular, and therefore U&V are square or they're orthogonal matrices.

  • In order to solve this equation, we need to ensure that the matrix is nonsingular so it has a unique solution.

Synonyms

nondegenerate
vsnonsingular
  • Specialized
9.8

A matrix that makes a system of equations have one unique solution

emphasizes having a unique solution rather than naming structural rank or determinant
invertible
vsnonsingular
  • Specialized
8.6

Another action can reverse it to get the original, for example a function or matrix

centers on unique solution existence for equations rather than mere reversibility

Compounds

nonsingular matrix
  • Specialized
8.0

A square table of numbers that you can undo by multiplying with another table

Surface Forms

nonsingular positive
nonsingularer comparative
nonsingularest superlative

Morphology

nonsingular = singular (transparent) = non + singular

The prefix 'non-' clearly negates the adjective 'singular', making the meaning straightforward.

Etymology

The word nonsingular is made from non- 'not' and singular 'single' or 'one'. In mathematics a nonsingular matrix is not the special bad case: you can undo it and so find a unique solution.