Task: Determinant and permanent





Java: import java.util.Scanner;

public class MatrixArithmetic {
	public static double[][] minor(double[][] a, int x, int y){
		int length = a.length-1;
		double[][] result = new double[length][length];
		for(int i=0;i<length;i++) for(int j=0;j<length;j++){
			if(i<x && j<y){
				result[i][j] = a[i][j];
			}else if(i>=x && j<y){
				result[i][j] = a[i+1][j];
			}else if(i<x && j>=y){
				result[i][j] = a[i][j+1];
			}else{ 
				result[i][j] = a[i+1][j+1];
			}
		}
		return result;
	}
	public static double det(double[][] a){
		if(a.length == 1){
			return a[0][0];
		}else{
			int sign = 1;
			double sum = 0;
			for(int i=0;i<a.length;i++){
				sum += sign * a[0][i] * det(minor(a,0,i));
				sign *= -1;
			}
			return sum;
		}
	}
	public static double perm(double[][] a){
		if(a.length == 1){
			return a[0][0];
		}else{
			double sum = 0;
			for(int i=0;i<a.length;i++){
				sum += a[0][i] * perm(minor(a,0,i));
			}
			return sum;
		}
	}
	public static void main(String args[]){
		Scanner sc = new Scanner(System.in);
		int size = sc.nextInt();
		double[][] a = new double[size][size];
		for(int i=0;i<size;i++) for(int j=0;j<size;j++){
			a[i][j] = sc.nextDouble();
		}
		sc.close();
		System.out.println("Determinant: "+det(a));
		System.out.println("Permanent: "+perm(a));
	}
}




VB: Module Module1

    Function Minor(a As Double(,), x As Integer, y As Integer) As Double(,)
        Dim length = a.GetLength(0) - 1
        Dim result(length - 1, length - 1) As Double
        For i = 1 To length
            For j = 1 To length
                If i < x AndAlso j < y Then
                    result(i - 1, j - 1) = a(i - 1, j - 1)
                ElseIf i >= x AndAlso j < y Then
                    result(i - 1, j - 1) = a(i, j - 1)
                ElseIf i < x AndAlso j >= y Then
                    result(i - 1, j - 1) = a(i - 1, j)
                Else
                    result(i - 1, j - 1) = a(i, j)
                End If
            Next
        Next
        Return result
    End Function

    Function Det(a As Double(,)) As Double
        If a.GetLength(0) = 1 Then
            Return a(0, 0)
        Else
            Dim sign = 1
            Dim sum = 0.0
            For i = 1 To a.GetLength(0)
                sum += sign * a(0, i - 1) * Det(Minor(a, 0, i))
                sign *= -1
            Next
            Return sum
        End If
    End Function

    Function Perm(a As Double(,)) As Double
        If a.GetLength(0) = 1 Then
            Return a(0, 0)
        Else
            Dim sum = 0.0
            For i = 1 To a.GetLength(0)
                sum += a(0, i - 1) * Perm(Minor(a, 0, i))
            Next
            Return sum
        End If
    End Function

    Sub WriteLine(a As Double(,))
        For i = 1 To a.GetLength(0)
            Console.Write("[")
            For j = 1 To a.GetLength(1)
                If j > 1 Then
                    Console.Write(", ")
                End If
                Console.Write(a(i - 1, j - 1))
            Next
            Console.WriteLine("]")
        Next
    End Sub

    Sub Test(a As Double(,))
        If a.GetLength(0) <> a.GetLength(1) Then
            Throw New ArgumentException("The dimensions must be equal")
        End If

        WriteLine(a)
        Console.WriteLine("Permanant  : {0}", Perm(a))
        Console.WriteLine("Determinant: {0}", Det(a))
        Console.WriteLine()
    End Sub

    Sub Main()
        Test({{1, 2}, {3, 4}})
        Test({{1, 2, 3, 4}, {4, 5, 6, 7}, {7, 8, 9, 10}, {10, 11, 12, 13}})
        Test({{0, 1, 2, 3, 4}, {5, 6, 7, 8, 9}, {10, 11, 12, 13, 14}, {15, 16, 17, 18, 19}, {20, 21, 22, 23, 24}})
    End Sub

End Module