I have two vectors:
A_1 = 10 200 7 150 A_2 = 0.001 0.450 0.0007 0.200
I would like to know
Try xcorr, it's a built-in function in MATLAB for cross-correlation:
xcorr
c = xcorr(A_1, A_2);
However, note that it requires the Signal Processing Toolbox installed. If not, you can look into the corrcoef command instead.