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Sorting using C#'s Linq library
var linq_Query_rowrates =
    from rw in rows
    orderby matchrate descending
    select rw;

var linq_Query_rowrates =
            from rw in rows
            join rate in matchrate
            on matchrate equals rows
            orderby matchrate descending
            select rw;

List<string[]> rows = null;
            List<double> coefficients = null;

            rows
                .Select((row, index) => new { Row = row, Index = index })
                .Join(coefficients
                            .Select(
                                (coefficient, index) => new { Coefficient = coefficient, Index = index }),
                                x => x.Index,
                                x => x.Index,
                                (rowIndex, coefIndex) => new { Row = rowIndex.Row, Coefficient = coefIndex.Coefficient })
                .OrderBy(x => x.Coefficient)
                .Select(x => x.Row);

var linq_Query_rowrates =
    from rw in rows
    orderby rw.matchrate descending
    select rw;

var linq_Query_rowrates =
    from rw in rows
    orderby rw.rate.matchrate descending
    select rw;

public struct CoefficientRow
{
    public double Coefficient;
    public string[] Cells;

    public CoefficientRow(double c, string[] cells)
    {
        this.Coefficient = c;
        this.Cells = cells;
    }
}

List<CoefficientRow> rows = new List<CoefficientRow>();
//populate the list...
var orderedRows = rows.OrderBy(cr => cr.Coefficient);
//or
var orderedRows = rows.OrderByDescending(cr => cr.Coefficient);

foreach(var row in rows)
    this.dgvDataView.Rows.Add(row.Cells);

IEnumerable<string> query = rows
  .Zip(coefficients, (r, c) => new {row = r, coef = c})
  .OrderByDescending(x => x.coef)
  .Select(x => x.row);