My text book is called "Linear Algebra and its applications" by David C. Lay.
I am just wondering why the textbook uses the absolute value symbol when it wants us to compute determinants. For example, for some matrix A, the determinant is represented as |A| (Chapter 3.1 Determinants).
And yet 2 sections later (3.3 Volume), we actually use absolute values around determinants, which is represented like this: | det(A) |. So if we wanted to compute the determinant of Matrix A as well as have the absolute value of it, it would look like ||A||?
I just don't see why the text book would choose to denote determinants using the same symbols as absolute values. Why would they not choose a different representation of determinants?