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Glite Dictionary
nonsingular matrix

nonsingular matrix

8.0
A square table of numbers that you can undo by multiplying with another table
  • noun
  • Specialized
translation icon : matriz invertible
  • The determinant of a nonsingular matrix is not zero.

Examples

  • A nonsingular matrix has an inverse.

  • Solving the system is possible only if the coefficient matrix is a nonsingular matrix.

  • Every nonsingular matrix has a unique inverse in linear algebra.

  • To compute the inverse, first check that the matrix is a nonsingular matrix.

  • Every nonsingular matrix has a unique inverse in linear algebra, which allows for various applications in systems of equations.

  • In order to find the solution, the corresponding coefficient matrix must be a nonsingular matrix that guarantees a unique solution.

  • Before proceeding with the calculations, ensure that the given matrix is a nonsingular matrix by confirming its determinant is not zero.

Antonyms

singular matrix
  • Specialized
8.8

A square matrix with determinant zero that has no inverse

Surface Forms

nonsingular matrix singular
nonsingular matrices plural

Morphology

nonsingular + matrix

The adjective 'nonsingular' (invertible/not singular) directly modifies 'matrix' (an array of numbers), so the meaning 'an invertible matrix' is a straightforward composition of the constituent meanings. This follows a standard adjective + noun pattern and is cross-linguistically predictable, so a learner who already knows both words would understand the MWE.

Etymology

The term nonsingular matrix uses a lock image: a singular matrix is like a locked box with no key, so you cannot 'open' it or find an 'inverse'. A nonsingular matrix is not locked and has a key — that's why it has an 'inverse'.