matrix multiplication with different dimension

I need to perform a matrix multiplication with different dimensions, let

 A*B=C;

where the dimension of A is 700*5 and the dimension of C should be 1*5, what will be the dimension of B?? Is this possible??

[José-Luis]

No

[Evgeny Pr]

What?..

http://en.wikipedia.org/wiki/Matrix_multiplication

Answer 1

[Walter Roberson]

No. However it would be possible if it were B*A = C instead, in which case B would have to be 1 x 700