The sum of stacked matrices

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I have a 3-d matrix and I want to find the sum so that every element in the sum matrix is the sum of all the elements in that corresponding i,j location. I know that sounds confusing probably so for example:
>> A=zeros(3,3,3);
>> A(:,:,1)=[1 1 1; 1 0 1; 0 0 0];
>> A(:,:,2)=[1 1 1; 0 0 1; 0 1 0];
>> A(:,:,3)=[1 0 1; 0 1 0; 0 1 0];
Would give me a sum matrix that would be:
[ 3 2 3
1 1 2
0 2 0 ]
I realize I could reshape the matrices into a vector, sum them, and then reshape them back into the matrix, and that I could use for loops, but both of those seem over complicated and I would be doing this with a pretty large amount of data so speed is ideal :)
Thanks in advance!
-Shaun

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Roger Stafford
Roger Stafford 2012-12-22
sum(A,3)
Roger Stafford
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Shaun VanWeelden
Shaun VanWeelden 2012-12-22
Well how bout that, that was sure easy haha
Question though, how does that 3 work? I was looking in the sum documentation and found that it sums along the second argument as the dimension, but I guess I don't understand what this means. Could you help explain it?
And by a similiar note, I tried finding the entire sum of a 2d matrix by doing sum(a2dMat,2) to see if it would give me just one value as the sum of all elements, but that did not work so now I'm a little confused as to how the second arg works in Sum
Roger Stafford
Roger Stafford 2012-12-22
No, it sums along the third dimension, which is what you asked for. That is what the '3' refers to.
To get the entire sum of a two-dimensional array you need to either use two calls to 'sum' or convert the array to one-dimension and sum that:
sum(sum(A))
or
sum(A(:))
Roger Stafford

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