extend Ruby's standard Matrix module to facilitate Rational matrices

matrix-convert.rb

require 'matrix'

class Matrix
  # Attempt to recast each entry of the matrix to clazz
  def to(clazz)
    self.each_with_index do |entry, i, j| 
      self[i, j] = send(clazz.name.to_sym, entry)
    end
  end
end

irb(main):001:0> load 'matrix-convert.rb'
=> true
irb(main):002:0> a = Matrix[ [1, 2], [-3, 4.5] ]
=> Matrix[[1, 2], [-3, 4.5]]
irb(main):003:0> a.to Rational
=> Matrix[[(1/1), (2/1)], [(-3/1), (9/2)]]