Let's say I have two dimensional array that represents simple matrix
int[,] matrix= new int[,] { { 1, 2 }, { 3, 4 }, { 1, 2 }, { 7, 8 } };
It looks like that
1 2
3 4
1 2
7 8
Is there any way to delete duplicate rows using LINQ and make array to look like this?
1 2
3 4
7 8
                This is not really Linq, but you can define some helper method as if they were Linq methods.
The simpler algorithm should be:
This looks like this:
public static class MyExtensions
{
    public static IEnumerable<List<T>> ToEnumerableOfEnumerable<T>(this T[,] array)
    {
        int rowCount = array.GetLength(0);
        int columnCount = array.GetLength(1);
        for (int rowIndex = 0; rowIndex < rowCount; rowIndex++)
        {
            var row = new List<T>();
            for (int columnIndex = 0; columnIndex < columnCount; columnIndex++)
            {
                row.Add(array[rowIndex, columnIndex]);
            }
            yield return row;
        }
    }
    public static T[,] ToTwoDimensionalArray<T>(this List<List<T>> tuples)
    {
        var list = tuples.ToList();
        T[,] array = null;
        for (int rowIndex = 0; rowIndex < list.Count; rowIndex++)
        {
            var row = list[rowIndex];
            if (array == null)
            {
                array = new T[list.Count, row.Count];
            }
            for (int columnIndex = 0; columnIndex < row.Count; columnIndex++)
            {
                array[rowIndex, columnIndex] = row[columnIndex];
            }
        }
        return array;
    }
}
The custom List comparer (copied from a Jon Skeet's answer):
public class ListEqualityComparer<T> : IEqualityComparer<List<T>>
{
    public bool Equals(List<T> x, List<T> y)
    {
        return x.SequenceEqual(y);
    }
    public int GetHashCode(List<T> obj)
    {
        int hash = 19;
        foreach (var o in obj)
        {
            hash = hash * 31 + o.GetHashCode();
        }
        return hash;
    }
}
The usage :
[TestClass]
public class UnitTest1
{
    [TestMethod]
    public void TestMethod1()
    {
        var array = new[,] { { 1, 2 }, { 3, 4 }, { 1, 2 }, { 7, 8 } };
        array = array.ToEnumerableOfEnumerable()
                     .Distinct(new ListEqualityComparer<int>())
                     .ToList()
                     .ToTwoDimensionalArray();
    }
}
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