is motivated by the observation that we can study flat families all of whose elements are hyperplane section of a given scheme by a hyperplane that meets it properly. We show by means of examples that we can have a flat family which contains a non standard determinantal scheme and whose general element is standard determinantal, or the other way around. In Proposition \[sect\] we give sufficient conditions on a section of a scheme $S$ by a hyperplane that meets it properly that force a general hyperplane section of $S$ to be good determinantal. We saw that a scheme $S$ with good determinantal general hyperplane section does not need to be good determinantal. In Theorem \[flatfam\] we show that $S$ is good determinantal up to flat deformation. Finally, we discuss how the property of being standard or good determinantal is preserved under basic double linkage. In Theorem \[det\] we prove that under some assumptions the property is preserved. In Example \[gensectbdl\] we show that in other cases the property is not preserved. We produce a family of schemes via basic double link from the family of Proposition \[n+1curve\], and we prove that the schemes we produced are not standard determinantal, 