I wanna ask a question about matrix factorizations just to be sure. In SVD method a matrix is reduced to U x E x tranpose of V matrices where the U is baseMatrix and the V itself is the coefficientMatrix. First, this is true, right?
And the second, are the other factorization methods's results matrices after their factorization process conceptually alike to SVD method. I mean the resulting baseMatrix and coefficientMatrix are alike to SVD's results, right? for instance alike as sizes and conceptual meaning?