Homework 1 due Wednesday, 1/21.
Justify your answers!
Sec.2 #1(b), Sec.3 #2(c), Sec.4 #1(a,b,c,d);
and the following problem:
Suppose that S and T are subspaces of a vector space V.
Is S+T={ s+t | s in S, t in T} always a subspace?
Homework 2 due Wednesday, 1/28.
Sec.4 #4(f,g), #5(just find the vectors), #10;
Sec.5 #3, 5.
Homework 3 due Wednesday, 2/4 pdf
Homework 4 due Wednesday, 2/11 pdf
Homework 5 due Wednesday, 2/18.
Sec.10 #2, 6(a)*, 7; Sec.11 #1.
* In #6 (a) refers to the first two hyperplanes,
In #6(a) also find an equation of the line (as in #4 on p.73)
Homework 6 due Wednesday, 2/25.
Sec.11 #5, 6(b,c), 7, 8(b,c); Sec.12 #2(give an example), 7(a,c).
Homework 7 due Monday, 3/1 (or Wednesday, 3/3).
Sec.13 #1, 2(S and T only), 8, 11.
Homework 8 due Wednesday, 3/24. Sec.15 #1(a,c), 5, 8, 12.
Homework 9 due Wednesday, 3/31. Sec.16 #1(a,b,c); Sec.18 #2,5,6.
Homework 10 due Wednesday, 4/7. Sec.19 #1, 2, 10, 11.
Homework 11 due Wednesday, 4/14.
Sec.20 #1, 2 (use the results of Ch.20 only); Sec.21 #1,3,4;
Prove that any f in R[x] has a real zero.
Homework 12 due Wednesday, 4/21. Sec.22 #2, 3(c,d), 4, 6, 9(a,b).