How to vectorize the following block of matlab
W = zeros( 2, 2, numfoo );
for i = 1:numfoo
    temp(1:2,1:2) = inv( A(1:2,1:2,i) );
    W(1:2,1:2,i) = ( temp *  (temp') );
end

Acell = mat2cell(A,2,2,ones(1,1,numfoo));
temp = cellfun(@inv,Acell,'UniformOutput',0);
W = cellfun(@(x,y)x*x', temp,'UniformOutput',0);
W = cell2mat(W);

dets=A(1,1,:).*A(2,2,:)-A(1,2,:).*A(2,1,:);
temp=[A(2,2,:)./dets -A(1,2,:)./dets ; -A(2,1,:)./dets A(1,1,:)./dets];
W=[temp(1,1,:).^2+temp(1,2,:).^2,...
   temp(1,1,:).*temp(2,1,:)+temp(1,2,:).*temp(2,2,:);...
   temp(2,1,:).*temp(1,1,:)+temp(2,2,:).*temp(1,2,:),...
   temp(2,1,:).^2+temp(2,2,:).^2];

Elapsed time is 1.070547 seconds.
Elapsed time is 0.012767 seconds.

clear
clc
tic
numfoo=10000;
W = zeros( 2, 2, numfoo );
A=rand(2,2,numfoo);
for i = 1:numfoo
    temp(1:2,1:2) = inv( A(:,:,i) );
    W(1:2,1:2,i) = temp *temp';
end
toc

tic
for i = 1:numfoo
    temp(1:2,1:2) = A(:,:,i)[1 0;0 1];
    W(1:2,1:2,i) = temp * temp' ;
end
toc

W = zeros( 2, 2, numfoo );
for i = 1:numfoo
    temp = inv( A(:,:,i) );
    W(:,:,i) = temp *  temp';
end