Elementwise product ef elements of a vector times a matrix

Hello,
I have a 2x2 matrix, imagine:
A=[1 2;3 5];
And a vector, for example of dimension 6:
b=1:6;
I need to construct a matrix 2x(6x2)=2x12, in which I have 6 2x2 matrices obtained as the product of matrix A times the corresponding element of vector b.
Is there any direct way of doing this without a loop and avoiding repeating the elements (i.e. constructing two 2x12 matrices and multiply them elementwise)?
Thanks in advance,
Ana

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