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# Linear combination of cell arrays

Asked by Dan Ryan on 25 Jan 2013

Is there a compact way (without loops) to take linear combinations of cell arrays that contain the same type of data (matrices of various sizes) in each index of the cell array?

For example:

```A = {rand(2, 2), ones(1, 2)}
B = {rand(2, 2), [3, 4]}
```

and I want a cell array, C, such that

```C = 3*A + 4*B
```

I want to be able to handle a cell array of arbitrary length. I can do this with a for loop, but I was thinking that there must be a better way.

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Answer by Peter Perkins on 25 Jan 2013

Either of these will work:

```>> A = {rand(2, 2), ones(1, 2)}
>> B = {rand(2, 2), [3, 4]}
>> cellfun(@(a,b) 3*a + 4*b, A, B, 'UniformOutput',false)
ans =
[2x2 double]    [1x2 double]
>> arrayfun(@(a,b) {3*a{:} + 4*b{:}}, A, B)
ans =
[2x2 double]    [1x2 double]
```

Whether or not this is faster or more readable than a loop is another question. Hope this helps.