C Program to Find Inverse of a Matrix3 min read

In this tutorial, you will learn to write a program to find the inverse of a matrix in C. Let us first start by understanding how to find the inverse of a matrix and the requirements to find it.

In order to find the inverse of a matrix,

  • The matrix must be a square matrix.
  • Determinant needs to be calculated and should not equal to zero (0).
  • Then find the adjoint of a matrix and
  • Lastly, multiply 1/determinant by adjoint to get the inverse of a matrix.

Adjoint of a matrix

The adjoint of a matrix is obtained by taking the transpose of the cofactor matrix of a given square matrix. it is also called the Adjugate matrix. For matrix A, it is denoted by adj A.

Determinant of a matrix:

It is calculated in the following way for the square matrices.

The formula to find inverse of matrix:

matrix inverse formula

C Program to Find Inverse of a Matrix

Output:

Inverse of a matrix in C

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