This is the java program to check whether the matrix is invertible or not. The square matrix is invertible if and only if its determinant is non zero.

Here is the source code of the Java Program to Check if a Matrix is Invertible. The Java program is successfully compiled and run on a Windows system. The program output is also shown below.

`//This is a simple program to check whether the matrix is invertible or not.`

`//The complexity of the algorithm is O(n^3)`

import java.util.*;

public class Invertible_Matrix

`{`

public double determinant(double A[][],int N)

`{`

double det=0;

if(N == 1)

`{`

det = A[0][0];

`}`

else if (N == 2)

`{`

det = A[0][0]*A[1][1] - A[1][0]*A[0][1];

`}`

`else`

`{`

det=0;

for(int j1=0;j1<N;j1++)

`{`

double[][] m = new double[N-1][];

for(int k=0;k<(N-1);k++)

`{`

m[k] = new double[N-1];

`}`

for(int i=1;i<N;i++)

`{`

int j2=0;

for(int j=0;j<N;j++)

`{`

if(j == j1)

continue;

m[i-1][j2] = A[i][j];

`j2++;`

`}`

`}`

det += Math.pow(-1.0,1.0+j1+1.0)* A[0][j1] * determinant(m,N-1);

`}`

`}`

return det;

`}`

public static void main(String args[])

`{`

Scanner input = new Scanner(System.in);

System.out.println("Enter the order of the square matrix");

int n = input.nextInt();

System.out.println("Enter the elements of the square matrix");

double[][] mat = new double[n][n];

for(int i=0; i<n; i++)

`{`

for(int j=0; j<n; j++)

`{`

mat[i][j] = input.nextDouble();

`}`

`}`

Invertible_Matrix I = new Invertible_Matrix();

if(I.determinant(mat, n) == 0)

`{`

System.out.println("Matrix is not Invertible, as the determinant is : "+I.determinant(mat, n));

`}`

`else`

`{`

System.out.println("Matrix is Invertible, as the determinant is : "+I.determinant(mat, n));

`}`

input.close();

`}`

`}`

Output:

$ javac Invertible_Matrix.java $ java Invertible_matrix Enter the order of the square matrix: 3 Enter the elements of the square matrix: 1 2 3 4 5 6 7 8 9 Matrix is not Invertible, as the determinant is : 0.0

**Sanfoundry Global Education & Learning Series – 1000 Java Programs.**

advertisement

advertisement

Here’s the list of Best Books in Java Programming, Data Structures and Algorithms.

**Next Steps:**

- Get Free Certificate of Merit in Java Programming
- Participate in Java Programming Certification Contest
- Become a Top Ranker in Java Programming
- Take Java Programming Tests
- Chapterwise Practice Tests: Chapter 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
- Chapterwise Mock Tests: Chapter 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

**Related Posts:**

- Apply for Information Technology Internship
- Practice Information Technology MCQs
- Apply for Java Internship
- Practice BCA MCQs
- Buy Programming Books