How do you loop through a multidimensional array?

With a nested for loop:

for (int row = 0; row < arrayOfMessages.GetLength(0); row++)
{
   for (int col = 0; col < arrayOfMessages.GetLength(1); col++)
   {
      string message = arrayOfMessages[row,col];
      // use the message
   }    
}

Don't use foreach - use nested for loops, one for each dimension of the array.

You can get the number of elements in each dimension with the GetLength method.

See Multidimensional Arrays (C# Programming Guide) on MSDN.

It looks like you found an answer suitable for your problem, but since the title asks for a multidimensional array (which I read as 2 or more), and this is the first search result I got when searching for that, I'll add my solution:

public static class MultidimensionalArrayExtensions
{
    /// <summary>
    /// Projects each element of a sequence into a new form by incorporating the element's index.
    /// </summary>
    /// <typeparam name="T">The type of the elements of the array.</typeparam>
    /// <param name="array">A sequence of values to invoke the action on.</param>
    /// <param name="action">An action to apply to each source element; the second parameter of the function represents the index of the source element.</param>
    public static void ForEach<T>(this Array array, Action<T, int[]> action)
    {
        var dimensionSizes = Enumerable.Range(0, array.Rank).Select(i => array.GetLength(i)).ToArray();
        ArrayForEach(dimensionSizes, action, new int[] { }, array);
    }
    private static void ArrayForEach<T>(int[] dimensionSizes, Action<T, int[]> action, int[] externalCoordinates, Array masterArray)
    {
        if (dimensionSizes.Length == 1)
            for (int i = 0; i < dimensionSizes[0]; i++)
            {
                var globalCoordinates = externalCoordinates.Concat(new[] { i }).ToArray();
                var value = (T)masterArray.GetValue(globalCoordinates);
                action(value, globalCoordinates);
            }
        else
            for (int i = 0; i < dimensionSizes[0]; i++)
                ArrayForEach(dimensionSizes.Skip(1).ToArray(), action, externalCoordinates.Concat(new[] { i }).ToArray(), masterArray);
    }

    public static void PopulateArray<T>(this Array array, Func<int[], T> calculateElement)
    {
        array.ForEach<T>((element, indexArray) => array.SetValue(calculateElement(indexArray), indexArray));
    }
}

Usage example:

var foo = new string[,] { { "a", "b" }, { "c", "d" } };
foo.ForEach<string>((value, coords) => Console.WriteLine("(" + String.Join(", ", coords) + $")={value}"));
// outputs:
// (0, 0)=a
// (0, 1)=b
// (1, 0)=c
// (1, 1)=d

// Gives a 10d array where each element equals the sum of its coordinates:
var bar = new int[4, 4, 4, 5, 6, 5, 4, 4, 4, 5];
bar.PopulateArray(coords => coords.Sum());

General idea is to recurse down through dimensions. I'm sure the functions won't win efficiency awards, but it works as a one-off initialiser for my lattice and comes with a nice-enough ForEach that exposes the values and indices. Main downside I haven't solved is getting it to automatically recognise T from the Array, so some caution is required when it comes to the type safety.

A more functional approach would be to use LINQ, which I always find better than loops. It makes the code more maintainable and readable. The below given code snippet shows one of the solution using Method or Fluent LINQ syntax.

string[,] arrayOfMessages = new string[3, 2] { { "Col1","I am message 1" }, { "Col2", "I am message 2" }, { "Col3", "I am message 3" } };
var result = arrayOfMessages.Cast<string>()
                            .Where((msg, index) => index % 2 > 0);

foreach (var msg in result)
{
    Console.WriteLine(msg);
}

LINQ extension methods are not available to multi-dimensional arrays since they do not implement IEnumerable<T> interface. That's where Cast<T> comes into picture. It basically casts the whole array into IEnumerable<T>. In our case it will flatten out the multi-dimensional array into IEnumerable<string> something like:

{ "Col1", "I am message 1", "Col2", "I am message 2", "Col3", "I am message 3" }

You can also use OfType<T> instead of Cast<T>. The only difference between them is that in case of collections with mixed data types, while OfType<T> ignores values which it is unable to cast, Cast<T> will throw an InValidCastException.

Next, all we need to do is to apply a LINQ operator that ignores (or filters out) values at even indices. So we use an overload of Where operator whose Func delegate is of the type Func<TSource, int, bool>, where TSource is each item in the collection, int is the index of the item in the collection and bool is the return type.

In the above snippet, I used a lambda expression which evaluates each item index and returns true only when it is an odd number.

Something like this would work:

int length0 = arrayOfMessages.GetUpperBound(0) + 1;
int length1 = arrayOfMessages.GetUpperBound(1) + 1;

for(int i=0; i<length1; i++) { string msg = arrayOfMessages[0, i]; ... }
for(int i=0; i<length1; i++) { string msg = arrayOfMessages[length0-1, i]; ... }

You can use the code below to run multidimensional arrays.

foreach (String s in arrayOfMessages)
{
    System.Console.WriteLine("{0}",s);
}