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singular matrix

 

Definitions from WordNet

Noun singular matrix has 1 sense
  1. singular matrix - a square matrix whose determinant is zero
    --1 is a kind of
    square matrix
    Antonyms: nonsingular matrix

Definitions from the Web

Singular Matrix

Description:

A singular matrix is a square matrix whose determinant is zero. In linear algebra, a singular matrix represents a system of equations that does not have a unique solution.

Sense:

Mathematics - In linear algebra, a square matrix that has no inverse and its determinant is zero.

Usage:

Popular usage:

  • A singular matrix cannot be inverted.
  • When the determinant of a matrix becomes zero, it implies that matrix is singular.
  • She studied the properties of singular matrices extensively during her research.

Local usage:

  • In our local math club, we often discuss the various applications of singular matrices.
  • The local university offers an advanced course in linear algebra where they teach singular matrices in depth.
  • As a tutor, I help students understand the concept of singular matrices by using real-life examples.

Sample Sentences:

Mathematics:

  1. The determinant of the given matrix is zero, indicating that it is a singular matrix.
  2. When dealing with systems of linear equations, it is important to identify whether the coefficient matrix is a singular matrix or not.
  3. Due to the singular matrix, the system of equations had infinite solutions.

Popular:

  1. Many online courses cover the topic of singular matrices extensively.
  2. If you encounter a singular matrix while performing calculations, you might need to use alternative methods.
  3. The inability to find the inverse of a singular matrix can pose challenges in solving certain mathematical problems.

Local:

  1. During our local math competition, one of the questions involved finding the determinant of a singular matrix.
  2. I attended a local seminar where the speaker explained the practical significance of singular matrices in real-world applications.
  3. Our local library has a collection of books specifically dedicated to studying singular matrices.

For more information and related products, you can check:

Amazon - Singular Matrix
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