Weighted Counts of Vectors

Hi, I have a vector of x,y coordinates each with weights. I want to bin the (x,y) coordinates per some general xedges and yedges but also include the weights for each of these coordinates. Here's a simple example with an attempt- I'm not sure how to incorporate the weights:

 matrix=[randi(11,1,5); randi(11,1,5).*0.75; [0.5 1 1 2 0.5]];
 xedge=0:5:round(max(init)/5)*5;
 yedge=xedge;
 counts=histcounts2(matrix(1,:),matrix(2,:),xedge,yedge);

This is able to bin and weight each coordinate equally instead of with 0.5 for the first coordinate, 1 for the second coordinate, etc. I was wondering how I could do the bin and weighting efficiently with large matrices with three rows (x,y coordinates and weights).

Thanks!