For math majors, LADR is far better than LADW, almost most of LA books use the determinant to prove the advanced stuff (diagonlaization etc), what sets LADR apa

For math majors, LADR is far better than LADW, almost most of LA books use the determinant to prove the advanced stuff (diagonlaization etc), what sets LADR apart is the intentional delay of introducing determinants in order to prove (and hence understand) what's the goal behind concepts such as diagonalization, I love this method.