﻿ C# Sharp Exercises: Calculate the determinant of a 3 x 3 matrix - w3resource

# C# Sharp Exercises: Calculate the determinant of a 3 x 3 matrix

## C# Sharp Array: Exercise-28 with Solution

Write a program in C# Sharp to calculate determinant of a 3 x 3 matrix.

Sample Solution:-

C# Sharp Code:

``````using System;
public class Exercise28
{
public static void Main()
{
int i,j;
int[,] arr1 = new int[10,10];
int det=0;

Console.Write("\n\nCalculate the determinant of a 3 x 3 matrix :\n");
Console.Write("-------------------------------------------------\n");

Console.Write("Input elements in the matrix :\n");
for(i=0;i<3;i++)
{
for(j=0;j<3;j++)
{
Console.Write("element - [{0}],[{1}] : ",i,j);
}
}
Console.Write("The matrix is :\n");
for(i=0;i<3;i++)
{
for(j=0;j<3 ;j++)
Console.Write("{0}  ",arr1[i,j]);
Console.Write("\n");
}

for(i=0;i<3;i++)
det = det + (arr1[0,i]*(arr1[1,(i+1)%3]*arr1[2,(i+2)%3] - arr1[1,(i+2)%3]*arr1[2,(i+1)%3]));

Console.Write("\nThe Determinant of the matrix is: {0}\n\n",det);
}
}
```
```

Sample Output:

```Calculate the determinant of a 3 x 3 matrix :
-------------------------------------------------
Input elements in the matrix :
element - [0],[0] : 2
element - [0],[1] : 6
element - [0],[2] : 8
element - [1],[0] : 10
element - [1],[1] : 12
element - [1],[2] : 14
element - [2],[0] : 16
element - [2],[1] : 18
element - [2],[2] : 20
The matrix is :
2  6  8
10  12  14
16  18  20

The Determinant of the matrix is: 24
```

Flowchart:

C# Sharp Code Editor: