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nonsingular matrix

 

Definitions from WordNet

Noun nonsingular matrix has 1 sense
  1. nonsingular matrix - a square matrix whose determinant is not zero
    --1 is a kind of
    square matrix
    Antonyms: singular matrix

Definitions from the Web

Nonsingular Matrix

A nonsingular matrix, also known as an invertible matrix or a non-degenerate matrix, is a square matrix that has an inverse matrix. In other words, a nonsingular matrix is a matrix that possesses a unique solution for a given set of equations.

Senses:

Sense 1: Linear Algebra

In linear algebra, a nonsingular matrix is a square matrix that has a nonzero determinant, hence allowing the existence of an inverse.

Example Sentence: In order to solve the system of linear equations, you need to determine if the coefficient matrix is nonsingular.

Sense 2: Mathematics

In mathematics, a nonsingular matrix refers to a square matrix that has full rank, meaning the number of linearly independent columns or rows is equal to the size of the matrix.

Example Sentence: The nonsingular matrix can be represented as a product of elementary matrices.

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