Multiply each row of a matrix by a matrix

Say I have the following matrix

B = [1 2 3;4 5 6;7 8 9;10 11 12]

and another matrix

A = [a b c;d e f;g h i]

How do I multiply each row of matrix B by the matrix A (without using a for loop), i.e

for i = 1:4
    c(i) = B(i,:)*A*B(i,:)'
end

many thanks in advance.

Answer 1

[James Tursa]

c = sum(bsxfun(@times,B',A*B'));

or another way, but does a lot of extra work for the off-diagonals that are discarded:

c = diag(B*A*B');

[Matt J]

No need for bsxfun, I don't think

c=sum((B*A.').*B,2);