The question is :

Could A be factored into the product UL where U is upper triangular and L lower triangular, instead of the product LU? If so, how? Would U and L be the same in both cases?

Answer is Yes it can be. And it will be different from A = L'U'.

I found an extremely well-explained answer in the following blog and it was really helpful!

http://math.hecker.org/2011/01/13/linear-algebra-and-its-applications-exercise-1-5-12/#comment-884

Could A be factored into the product UL where U is upper triangular and L lower triangular, instead of the product LU? If so, how? Would U and L be the same in both cases?

Answer is Yes it can be. And it will be different from A = L'U'.

I found an extremely well-explained answer in the following blog and it was really helpful!

http://math.hecker.org/2011/01/13/linear-algebra-and-its-applications-exercise-1-5-12/#comment-884

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