What are some advantages of using LU decomposition over UL decomposition? From what I see, they can both be used equally well to solve $MX=V$ through forward and backward substitution, and since the determinant is commutative for triangular matricies, they can both be used. Some googling returns nothing on the UL decomposition, leading me to believe that LU has some advantages over UL. So why is LU decomposition preferred?
Source: Linear Algebra by Cherney, Denton, Waldron