BY Team Aakash Byju's

How to Find if a Matrix Is Singular or Non-singular? Solved Example

A matrix is a systematic arrangement of the same rectangular functions or numbers written between square brackets.

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Each row and column includes numbers or expressions called ‘Elements’ or ‘Inputs’.

The total number of rows by the number of columns defines the size or size of the matrix.

What is a Singular Matrix?

Depending on the determinant, we may say that the  matrix is singular or not.

Det 'A' or '| A |' means Matrix specification 'A'. If the determinant of the matrix is zero, it is called a ‘Singular matrix’.

If the singular matrix determinant is 0, it is a square Matrix if and only if det A = 0, Matrix A is square.

In a singular Matrix, the inverse of the matrix does not exist.

- Let's learn why the inverse does not exist - The inverse of the matrix 'A' is given as:

– The denominator needs to be '0' in a singular matrix that is not defined. – Therefore, the inverse of the Singular Matrix does not exist.

As a result, A inverse is not defined when det A is equal to 0. The inverse of the Singular Matrix is not defined.

Properties

- The determinant of a singular matrix is zero

- For a singular matrix,  we cannot determine the inverse of the matrix.

Example:

How to determine whether a matrix is singular or not?

Singualr matrix

Example:

Non-singualr

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