% Different types of multiplications in Octave/Matlab
% 2015-04-13, RB

x = [1 2 3]'    % column vector
y = [10 20 30]' % column vector
y = y'          % row vector, transposed

s = y*x         % scalar product, left row, right column, result type is scalar

C = x*y         % Cartesian product, matrix with all possible combinations

y2 = y.*y       % element-wise multiplication, result type is row vector
x2 = x.*x       % element-wise multiplication, result type is column vector
z  = x.*y'      % element-wise multiplication, result type is column vector