Properties of Non-Singular Matrix

Some properties of non-singular matrix are listed below.

  • The determinant is a non-zero value for the non-singular matrix.
  • Non-singular matrix is a square matrix.
  • Non-singular matrices are invertible as its determinant is not equal to zero.
  • The multiplication of two non-singular matrices is also non-singular matrix.
  • A matrix kP is non-singular matrix if P is non-singular matrix and k is constant.

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

Similar Reads

What is Non-Singular Matrix?

A non-singular matrix is a matrix with non-zero determinant. The matrices whose determinant is not equal to zero are known as non-singular matrices. The condition for a matrix to be non-singular is that the determinant of the matrix should be non-zero. The condition for a non-singular matrix can be mathematically represented as Det (Matrix) ≠ 0 or |Matrix| ≠ 0. The singular matrices have an inverse, so they are also called invertible matrices....

Properties of Non-Singular Matrix

Some properties of non-singular matrix are listed below....

How to Identify Non-Singular Matrix

The below are some steps to find the matrix is non-singular matrix or not....

Difference Between Singular and Non-Singular Matrix

The below table represents the difference between singular and non-singular matrices....

Solved Examples on Non-Singular Matrix

Example 1: Check whether the given matrix A = [Tex]\begin{bmatrix} 2 & 0\\ 5 & 9 \end{bmatrix}[/Tex] is a non-singular matrix or not?...

Practice Questions on Non-Singular Matrix

Q1. Check whether the given matrix A = [Tex]\begin{bmatrix} 2 & 7 & 12\\ 4 & 6& 1\\ 3 & 0 & 5 \end{bmatrix}[/Tex] is a non-singular matrix or not?...

FAQs on Non-Singular Matrix

What is a 2×2 Non-Singular Matrix?...

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