Element wise multiplication to matrix in a "matrix array"?

I have an array of matrix m such that

m1 = [1 2;3 4];
m2 = [2 7; 8 9];
m3 = [9 7; 8 91];
m = [m1 m2 m3]

m =
     1     2     2     7     9     7
     3     4     8     9     8    91

I also have a vector

v = [1 2 3];

such that i want the operations between v and m result in h such that

h = [1*m1 2*m2 3*m3] = [h1 h2 h3];

From h i want to extract h1 h2 and h3 out(, how?) such that

h1*A*h1'
h2*A*h2'
h3*A*h3'

and where A is a 2 by 2 matrix, say [10 11; 12 13].

h1*h1', h2*h2', h3*h3'.

The reason i want to do this in array is because i have a lot of matrix mi so I want to avoid for loop by vectorization.

[Azzi Abdelmalek]

What is A?

[K.E.]

just a 2 by 2 matrix.

Answer 1

[Azzi Abdelmalek]

m1 = [1 2;3 4];
m2 = [2 7; 8 9];
m3 = [9 7; 8 91];
m = [m1 m2 m3]
[n1,n2]=size(m1)
v=[1 2 3]
M=reshape(m,n1,n2,[])
B=bsxfun(@times,M,reshape(v,1,1,[]))
out=B(:,:)