Decomposing Matrices into Elementary Matrices: A Reverse Approach

[_Steve_]

I have a question about elementary matrices,
I have matrix A, and I just found A^-1, and then the question wants me to write A^-1 as a product of elementary matrices.
Ok, that's easy, but now the question wants me to write A as a product of elementary matrices, how do I go about doing this?
Would it be the same as writing A^-1 as a product of elementary matrices but backwards?

 

[_Steve_]

lol does that question make sense? or should I describe it better?

 

[mmmboh]

If A^-1=E₃E₂E₁, then A equals the inverse of that; that is A=(E₃E₂E₁)^-1=E₁^-1E₂^-1E₃^-1.