Solve Determinant of N x N Matrix in Java
This is a Java program which can be used to find the Determinant of any Matrix. This program involves transforming the given N x N matrix to a Upper Triangle form.
Screenshot[Demo]
The Code
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Screenshot[Demo]
The Code
package dProBuk; import java.util.Scanner; public class Det { public static void main(String[] args) { // TODO Auto-generated method stub Scanner s= new Scanner(System.in); int n; System.out.println("Give the value of N for [N x N]: "); n=s.nextInt(); double a[][]=new double [n][n]; //Storing Values in the Array ! for (int i=0;i<n;i++) for (int j=0;j<n;j++) a[i][j]=s.nextInt(); // Conversion of matrix to upper triangular for(int i = 0; i < n; i++) { for(int j = 0; j < n; j++) if(j>i) { double ratio = a[j][i]/a[i][i]; for(int k = 0; k < n; k++) a[j][k] -= ratio * a[i][k]; } } double det = 1.0; //storage for determinant for(int i = 0; i < n; i++) det *= a[i][i]; System.out.println("The Det is : "+det); s.close(); } }
Found Bugs, or wanna Give Hugs, Share it.. and comment them ! :D
Can u please let me know
ReplyDeletefor(int j = 0; j < n; j++)
if(j>i)
{
double ratio = a[j][i]/a[i][i];
for(int k = 0; k < n; k++)
a[j][k] -= ratio * a[i][k];
}
How it is working.
In detail.
I am not able to understand, how ratio working here.