This story is a direct follow-up of this one. We have constructed a function, i.e. determinant function, that has very desirable properties in order to translate the question for which values a parameterized family of matrices is singular, into an algebraic problem.
Numbered references in this account are with respect…
Determinants are an important concept in linear algebra. They have many applications in practical problems as well as in theory. In this story I want to point out some basic and fundamental aspects about determinants.
This account requires some basic knowledge about permutations. You may find an accessible overview in…