How to sort multidimensional array by two columns two different directions?

Question

Here is my array:

var arr = [
  ['ABC', '01/01/2016', '000000001'],
  ['ABC', '02/01/2016', '000000002'],
  ['ABC', '03/01/2016', '000000003'],
  ['DEF', '01/01/2016', '000000004'],
  ['DEF', '02/01/2016', '000000005'],
  ['DEF', '03/01/2016', '000000006'],  
];

First I want to sort it by second column DESC and then by first column ASC to get this:

var arr = [
  ['ABC', '03/01/2016', '000000003'],
  ['DEF', '03/01/2016', '000000006'],  
  ['ABC', '02/01/2016', '000000002'],
  ['DEF', '02/01/2016', '000000005'],
  ['ABC', '01/01/2016', '000000001'],
  ['DEF', '01/01/2016', '000000004'],
];

Is that possible? I found here only examples that allow to sort one direction. The third column can be a combination of first and second (if that helps to sort)