How can we construct a matrix with size $n\times 2^n$ , i.e., each column vector is the vertex of the hyperplane generated by $[L,U]^n$?

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In matlab, if we have two vectors L and U (with size n ), how can we efficiently construct a matrix with size $n\times 2^n$ , each column vector is the vertex of the hyperplane generated by $[L,U]^n$ ?