Posted by Allen Olsen on 5/1/2019
Objective: Apply row operations to determinants to evaluate them.
Today we learned that row operations can be applied to determinants, and have the following effects:
1. An operation like 3R_1 + R_2 → R_2 does not change the value of the determinant.
2. If you multiply a row by a number n: n·R_1 → R_1, this multiplies the value of the determinant by n, too.
3. If you swap any two rows: R_1 ↔ R_2, this multiplies the determinant by -1.
We will continue this discussion in the next class. Meanwhile, this is today's
HW: Sect. 7.3, p 546:
55 - 66.