Applying RREF transformation of one matrix to another
Given a matrix M
, let M'
be the matrix created by M.rref()
.
Let E
be a matrix made from composing the elementary row operations which took M
to M.rref()
. In particular, E satisfies M.rref() = EM
.
I now wish to compute E
(actually, EA
, for any matrix A
of the right dimension). Does Sagemath offer anything which allows me to bypass manually computing E
?