vector_normalization.rb

class Vector
  def normalize
    sum_of_squares = to_a.inject(0) { |s, x| s + x*x }
    if sum_of_squares == 0
      self
    else
      self * (1 / Math.sqrt(sum_of_squares))
    end
  end
end

class Matrix
  def normalize
    normalized = row_vectors.collect do |row|
      row.normalize
    end
    return Matrix.rows(normalized)
  end
end