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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;

• I_n​ 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 –

1. A is a square matrix (i.e., number of rows = number of columns).
2. 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.

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