How to store 1x3 vectors in (n,m) position of 2D matrix in a for loop ?

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How to build nested array of 1x3 vectors in the (n,m) posision of 2D matrix in a for loop?
And then how to access the n,m vector ? Is there a better way that this below.
for n =1:2
for m =1:3
v = [n,m,n]' % test vector to be stored
A(3*n-2:3*n,m) = v;%
end
end
n =2;m=3;
v = A(3*n-2:3*n,m); %
A
v

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