Please complete the following problems. You are welcome to use Sage to do find reduced row echelon forms as well as to check work. These problems are due Wednesday, December 7.

3.3: 2ef, 4c, 15 (proof doesn't need to be too formal; can be a matrix argument), 22

3.4: 1cd, 3be, 8d, 19 (please use Sage or calculator for 1 and 3)

5.1: 1a (using prop 1.1), 2

5.2: 1c, 5edh (do 1 by hand, use Sage for 5)

6.1: 1 (choose 3 that don't have *. Make at least 1 of them a 3 by 3. You may use Sage).