MATLAB: Creation of matrix where the submatrices are resultants of smaller matrix multiplication

Question

Let size(A) = [m,m] and size(B) = [n, n] and size(Q) = [mn,k]

I want to create a matrix

[ B*P_1*A' B*P_2*A' ... B*P_k*A'] where P_i = reshape(Q(:,i), [n, m])

Answer 1

m = size(A,1);
n = size(B,1);
P = reshape(Q,n,m,[]);
C = P;
for jj = 1:size(P,3)
    C(:,:,jj) = B*P(:,:,jj)*A';
end
out = reshape(C,n,[]);