How do you easily create empty matrices javascript?

Question

Array.fill

Consider using fill:

Array(9).fill().map(()=>Array(9).fill())

The idea here is that fill() will fill out the items with undefined, which is enough to get map to work on them.

You could also fill directly:

Array(9).fill(Array(9))

Alternatives to Array(9).fill() include

Array(...Array(9))
[].push(...Array(9))
[].concat(Array(9))
Array.from(Array(9))

We can rewrite the solution a bit more semantically as:

function array9() { return Array(9).fill(); }
array9().map(array9)

or

function array(n) { return Array(n).fill(); }
array(9).map(() => array(9))

Array.from provides us with an optional second mapping argument, so we have the alternative of writing

Array.from(Array(9), () => Array.from(Array(9));

or, if you prefer

function array9(map) { return Array.from(Array(9), map); }
array9(array9);

For verbose description and examples, see Mozilla's Docs on Array.prototype.fill() here.
and for Array.from(), here.

Note that neither Array.prototype.fill() nor Array.from() has support in Internet Explorer. A polyfill for IE is available at the above MDN links.

Partitioning

partition(Array(81), 9)

if you have a partition utility handy. Here's a quick recursive one:

function partition(a, n) {
  return a.length ? [a.splice(0, n)].concat(partition(a, n)) : [];
}  

Looping

We can loop a bit more efficiently with

var a = [], b;
while (a.push(b = []) < 9) while (b.push(null) < 9);

Taking advantage of the fact that push returns the new array length.

var matrix = [];
for(var i=0; i<9; i++) {
    matrix[i] = new Array(9);
}

... or:

var matrix = [];
for(var i=0; i<9; i++) {
    matrix[i] = [];
    for(var j=0; j<9; j++) {
        matrix[i][j] = undefined;
    }
}

There is something about Array.fill I need to mention.

If you just use below method to create a 3x3 matrix.

Array(3).fill(Array(3).fill(0));

You will find that the values in the matrix is a reference.

---

Optimized solution (prevent passing by reference):

If you want to pass by value rather than reference, you can leverage Array.map to create it.

Array(3).fill(null).map(() => Array(3).fill(0));

// initializing depending on i,j:
var M=Array.from({length:9}, (_,i) => Array.from({length:9}, (_,j) => i+'x'+j))

// Print it:

console.table(M)
// M.forEach(r => console.log(r))
document.body.innerHTML = `<pre>${M.map(r => r.join('\t')).join('\n')}</pre>`
// JSON.stringify(M, null, 2) // bad for matrices

Beware that doing this below, is wrong:

// var M=Array(9).fill([]) // since arrays are sparse
// or Array(9).fill(Array(9).fill(0))// initialization

// M[4][4] = 1
// M[3][4] is now 1 too!

Because it creates the same reference of Array 9 times, so modifying an item modifies also items at the same index of other rows (since it's the same reference), so you need an additional call to .slice or .map on the rows to copy them (cf torazaburo's answer which fell in this trap)

note: It may look like this in the future, with Number.range() proposal

const M = [...Number.range(1,10)].map(i => [...Number.range(1,10)].map(j => i+'x'+j))

This is an exact fix to your problem, but I would advise against initializing the matrix with a default value that represents '0' or 'undefined', as Arrays in javascript are just regular objects, so you wind up wasting effort. If you want to default the cells to some meaningful value, then this snippet will work well, but if you want an uninitialized matrix, don't use this version:

/**
* Generates a matrix (ie: 2-D Array) with: 
* 'm' columns, 
* 'n' rows, 
* every cell defaulting to 'd';
*/
function Matrix(m, n, d){
    var mat = Array.apply(null, new Array(m)).map(
        Array.prototype.valueOf,
        Array.apply(null, new Array(n)).map(
            function() {
               return d;
            }
        )
    );
    return mat;
}

Usage:

< Matrix(3,2,'dobon');
> Array [ Array['dobon', 'dobon'], Array['dobon', 'dobon'], Array['dobon', 'dobon'] ]

If you would rather just create an uninitialized 2-D Array, then this will be more efficient than unnecessarily initializing every entry:

/**
* Generates a matrix (ie: 2-D Array) with: 
* 'm' columns, 
* 'n' rows, 
* every cell remains 'undefined';
*/
function Matrix(m, n){
    var mat = Array.apply(null, new Array(m)).map(
        Array.prototype.valueOf,
        new Array(n)
    );
    return mat;
}

Usage:

< Matrix(3,2);
> Array [ Array[2], Array[2], Array[2] ]

If you really like one-liners and there is a use for underscore.js in your project (which is a great library) you can do write-only things like:

_.range(9).map(function(n) {
      return _.range(9).map(function(n) {
            return null;
      });
});

But I would go with standard for-cycle version mentioned above.

The question is slightly ambiguous, since None can translate into either undefined or null. null is a better choice:

var a = [], b;
var i, j;
for (i = 0; i < 9; i++) {
  for (j = 0, b = []; j < 9; j++) {
    b.push(null);
  }
  a.push(b);
}

If undefined, you can be sloppy and just don't bother, everything is undefined anyway. :)