Table of Contents
In this tutorial, we will learn C# Program to calculate Matrix Determinant.
C# Program to calculate Matrix Determinant
class MatrixDeterminant
{
public static void Main(string[] args)
{
try
{
//get the order of determinant from the user
Console.WriteLine("Enter the order of determinant: ");
int n = int.Parse(Console.ReadLine().ToString());
Console.WriteLine("Order of determinant entered: " + n.ToString());
if (n > 0)
{
double[,] myMatrix = new double[n, n];
//input the matrix elements
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
Console.WriteLine("Enter element [" + (i + 1) + "]" + "[" + (j + 1) + "]: ");
myMatrix[i, j] = double.Parse(Console.ReadLine().ToString());
}
}
//display the entered matrix
Console.WriteLine("Matrix entered: ");
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
Console.Write(myMatrix[i, j].ToString() + " ");
}
Console.WriteLine();
}
Console.WriteLine("Value of the determinant is: " + Determinant(myMatrix));
}
else
{
Console.WriteLine("Order should be a positive integer.");
}
}
catch (Exception e)
{
Console.WriteLine(e.Message.ToString());
}
}
//this method determines the sign of the elements
static int SignOfElement(int i, int j)
{
if ((i + j) % 2 == 0)
{
return 1;
}
else
{
return -1;
}
}
//this method determines the sub matrix corresponding to a given element
static double[,] CreateSmallerMatrix(double[,] input, int i, int j)
{
int order = int.Parse(System.Math.Sqrt(input.Length).ToString());
double[,] output = new double[order - 1, order - 1];
int x = 0, y = 0;
for (int m = 0; m < order; m++, x++)
{
if (m != i)
{
y = 0;
for (int n = 0; n < order; n++)
{
if (n != j)
{
output[x, y] = input[m, n];
y++;
}
}
}
else
{
x--;
}
}
return output;
}
//this method determines the value of determinant using recursion
static double Determinant(double[,] input)
{
int order = int.Parse(System.Math.Sqrt(input.Length).ToString());
if (order > 2)
{
double value = 0;
for (int j = 0; j < order; j++)
{
double[,] Temp = CreateSmallerMatrix(input, 0, j);
value = value + input[0, j] * (SignOfElement(0, j) * Determinant(Temp));
}
return value;
}
else if (order == 2)
{
return ((input[0, 0] * input[1, 1]) - (input[1, 0] * input[0, 1]));
}
else
{
return (input[0, 0]);
}
}
}
Output:
Enter the order of determinant:
2
Order of determinant entered:2
Enter element [1][1]:2
Enter element [1][2]:3
Enter element [2][1]:4
Enter element [2][2]:5
Matrix entered:
2 3
4 5
Value of the determinant is: -2
