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:
- The determinant of the given matrix is zero, indicating that it is a singular matrix.
- When dealing with systems of linear equations, it is important to identify whether the coefficient matrix is a singular matrix or not.
- Due to the singular matrix, the system of equations had infinite solutions.
Popular:
- Many online courses cover the topic of singular matrices extensively.
- If you encounter a singular matrix while performing calculations, you might need to use alternative methods.
- The inability to find the inverse of a singular matrix can pose challenges in solving certain mathematical problems.
Local:
- During our local math competition, one of the questions involved finding the determinant of a singular matrix.
- I attended a local seminar where the speaker explained the practical significance of singular matrices in real-world applications.
- 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 |