import java.util.Scanner;
public class CramerBackEnd {
public float calcdeterminant(float temp2[][] ) { // returns the value of the calculated determinant
float diter1= temp2[0][0]*( (temp2[1][1]*temp2[2][2] )-(temp2[2][1]*temp2[1][2]) );
float diter2= temp2[0][1]*( (temp2[1][0]*temp2[2][2] )-(temp2[2][0]*temp2[1][2]) );
float diter3= temp2[0][2]*( (temp2[1][0]*temp2[2][1] )-(temp2[2][0]*temp2[1][1]) );
float result = diter1-diter2+diter3;
return result;
}
}
public class MainCramers {
public static void main(String args[]){
Scanner scan = new Scanner(System.in) ;
CramerBackEnd process = new CramerBackEnd();
float matrix[][] = new float[5][5];
float temp1[][]= new float [5][5];
float temp2[][]= new float [5][5];
System.out.println("plz give the value of the 3x4 matrix:");
for(int i =0;i<3;i++){ // loop i begins
for(int j=0;j<4;j++) { // loop j begins
System.out.println(" the matrix"+(i+1)+ (j+1) );
matrix[i][j]= scan.nextFloat();
temp1[i][j]= matrix[i][j];
temp2[i][j]= matrix[i][j];
} // loop j ends
}// loop i ends
matrix[0][0]= matrix[0][3]; matrix[1][0]= matrix[1][3]; matrix[2][0]= matrix[2][3]; //
temp1[0][1]= matrix[0][3]; temp1[1][1]= matrix[1][3]; temp1[2][1]= matrix[2][3]; //
temp2[0][2]= matrix[0][3]; temp2[1][2]= matrix[1][3]; temp2[2][2]= matrix[2][3]; //
float determinant = process.calcdeterminant(matrix);
System.out.println("the determinant:"+determinant);
System.out.printf("The value of X1:");
float var1 = process.calcdeterminant(matrix)/determinant;
System.out.printf("%.5f\n",var1);
System.out.printf("The value of X1:");
float var2 = process.calcdeterminant(temp1)/determinant;
System.out.printf("%.5f\n",var2);
System.out.printf("The value of X1:");
float var3 = process.calcdeterminant(temp2)/determinant;
System.out.printf("%.5f\n",var3);
}
}
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