
Assignments not to be handed in; Test 2;
timetable for "remediation" period
12 Jan. Finish up 4.1; start 5.1.
4.1: exer's 4, 6 (vectors u, v in R^n
are "parallel" iff one of them is a scalar multiple of
the other), 8.(a), (c), 10, 11
15 Jan. Continue with section 5.1. Maybe start 5.2.
5.1: exer's 1.(b), 4, 5, 6. (c), (d), (h)
17 Jan. Section 5.2: Subspaces, spanning sets, linear
combinations.
5.2: exer's 1, 3, 4, 8.(a), 9.(a), (c), 11. (a), (c),
13. (a), 19
19 Jan. Start 5.3, Linear independence and dimension.
Maybe do some of the earlier exercises below from
5.3 after today's class.
22 Jan. We almost finished section 5.3 today.
(Revised)
5.3: exer's 1dfg, 2dhi, 5ac, 8b, 10c, 13dk, 14,
16, 21, 23, 25, 36
24 Jan. We will finish 5.3 today and continue to sec. 5.4.
5.4: exer's 1bc, 2b, 3bc, 7, 8, 10b, 11 for fun, 17,
19, 20, 21 for fun
26 Jan. Continue with 5.4 and possibly start 5.5.
Further timetable: Check this file in a few days.
5.5: exer's 1a, 2a, 5, 7ab, 8ac, 9, 13, 15a, 22, 24, 25
6.1: exer's 1, 3, 7a, 8ae, 10, 11a, 13, 17, 21. For 11a,
see Example 7 in 6.1. Use the fact that
1 m 1 m
(P A P) = P A P for any pos. integer m, and the
fact that powers of a DIAGONAL matrix are easy to compute.
6.2: exer's 1aef, 4, 5, 9, 15, 16
4.2: exer's 18 (part (a) of each), 14a, 15a, 23, 25
