I’m trying to shift the elements of a 2D array to the right and down by one position without using an additional temporary array. Here’s the current implementation using a temporary array:

public static void TransformArray(int[,] matrix)
{
    int row = matrix.GetLength(0);
    int col = matrix.GetLength(1);
    
    int[,] tempMatrix = new int[row, col];
    
    for (int i = 0; i < row; ++i)
    {
        for (int j = 0; j < col; ++j)
        {
            tempMatrix[(i + 1) % row, (j + 1) % col] = matrix[i, j];
        }
    }

    for (int i = 0; i < row; ++i)
    {
        for (int j = 0; j < col; ++j)
        {
            matrix[i, j] = tempMatrix[i, j];
        }
    }
}

public static void Main(string[] args)
{
    int[,] matrix = {
        {1, 2, 3},
        {4, 5, 6},
        {7, 8, 9}
    };

    TransformArray(matrix);

    // Output the transformed matrix
    for (int i = 0; i < matrix.GetLength(0); ++i)
    {
        for (int j = 0; j < matrix.GetLength(1); ++j)
        {
            Console.Write(matrix[i, j] + " ");
        }
        Console.WriteLine();
    }
}

I would like to avoid using tempMatrix and perform the transformation in-place. Is there an efficient way to do this in C#? Any suggestions or optimizations would be appreciated.