mat=[2,1,0,0;1,0,0,0;0,0,0,1]; % 2D matrix
f = [25,5,10,1]; % row vector
result = f .* mat; % element-wise multiply with virtual expansion of row vector
If you have an earlier version of MATLAB, then use bsxfun:
result = bsxfun(@times,f,mat); % same functionality as f .* mat
