In this note, we are going to know about How to Find Inverse of a Matrix?. Welcome to Poly Notes Hub, a leading destination for engineering notes for diploma and degree engineering students.
Author Name: Arun Paul.
How to Find Inverse of a Matrix?
The inverse of matrix is a square matrix that, when multiplied by the original matrix, results in the identity matrix. If A is an n×n matrix, its inverse A-1 staisfied –
Where;
- In is the identity matrix of order n. A matrix is invertible if and only if it is square and has a non-zero determinant.
Conditions for Inverse to Exist
A matrix AAA has an inverse if and only if –
- A is a square matrix (i.e., number of rows = number of columns).
- The determinant of A is non-zero (det(A)≠0). If det(A)=0, the matrix is called singular and does not have an inverse.