Vector and matrices dotwise multiplication

I have a n elements vector a1 a2 ... an

and n same-sized matrices b1 b2 ... bn

how can I do a1*b1 + a2*b2 + ... + an*bn without loop? I was thinking if there's a way to do something like multidimentsional array dotwise multiplication? Thanks.

Answer 1

[per isakson]

Try

    a * transpose( b )

where

    a = [ a1, a2, ... an ]
    b = [ b1, b2, ... bn ]

[Piment]

I'm not sure if I have made it clear enough, the thing is it's not gonna work because I've tried this before. this is what I did and what matlab spitted out:

>> a = [rand(1), rand(1), rand(1), rand(1)];

>> [b1, b2, b3, b4] = deal(magic(3));

>> b = [b1, b2, b3, b4];

>> a * transpose(b);

Error using *

Inner matrix dimensions must agree.