Difference Between Singular and Non-Singular Matrix
The below table represents the difference between singular and non-singular matrices.
Characteristics | Singular Matrix | Non-Singular Matrix |
---|---|---|
Definition | Singular matrix is a matrix whose determinant is zero. | Non-singular matrix is a matrix whose determinant is non-zero. |
Condition | |A| = 0 then, A is singular matrix. | |A| ≠ 0 then, A is non-singular matrix. |
Invertible | Singular matrices are not invertible. | Non-singular matrices are invertible. |
Examples | Null or Zero matrix is an example of singular matrix. | Identity matrix is an example of non-singular matrix. |
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Non Singular Matrix
Non-singular matrix is a square whose determinant is not zero. The non-singular matrices are also invertible matrices. In this article we will explore non-singular matrix in detail along with the non-singular matrix definition, non-singular matrix examples. We will also discuss how to find a matrix is non-singular or not, properties of non-singular matrix and solve some examples related to non-singular matrix. Let’s start our learning on the topic “Non-Singular Matrix”.
Table of Content
- What is Non-Singular Matrix?
- Properties of Non-Singular Matrix
- How to Identify Non-Singular Matrix
- Difference Between Singular and Non-Singular Matrix
- Solved Examples on Non-Singular Matrix