Homework will be due at the beginning of every class. It must neatly written and stapled. Late homework will not be accepted.
Homework 1 (Due Thursday, January 16th)
Section 1.1: 2, 10, 16, 18.
Homework 2 (Due Thursday, January 24th)
Section 1.2: 1(a), 6(f), 8(e), 13.
Section 1.3: 11(a)(d), 12(a)(c)(e), 17.
Section 1.4: 10, 31.
Section 1.5: 14(b)(c), 22, 24.
Note: Solutions to 22 and 24 on 1.5 are available in the content area on d2l.
Homework 3 (Due Thursday, January 31st)
Section 1.5: 31, 34, 42, 57.
Section 1.6: 9, 10, 16(a), 17(b), 19.
Section 2.1: 2(b), 5(a).
Homework 4 (Due Thursday, February 7th)
Section 2.2: 6, 14, 20.
Section 2.3: 2, 8, 10c, 11
Homework 5 (Due Thursday, February 14th)
Section 3.1: 4.
Section 3.2: 1(e), 2(b),(d), 4,8, 15, 17, 24.
Section 3.3: Evaluate the determinants of the matrices 1(a), (d)
and 2(c) in section 3.2 (pages 154-155) using the method of cofactor
expansion.
Note: The book sometimes uses vertical bars (i.e. |A|) to denote the
determinant of A.
Homework 6 (Due Tuesday, February 19th)
Section 3.4: 2 (On this problem, in addition to (a)(b)and (c), also answer: (d)Find the inverse of A).
Section 4.2: 2, 7, 8, 9
Homework 7 (Due Thursday, February 28th)
Section 4.2: Prove part b of Theorem 4.2
Section 4.3: 6(d), 16(c), 17 (a), 19(b)(c)(d). For the questions in this section, prove your answers (i.e. show that both a and b are satisfied or
show that at least one of them fails.
Homework 8 (Due Thursday, March 6th)
Section 4.3: 25, 27, 33(a), 34(c).
Section 4.4: 4(a), 8(c)(d), 10, 12.
Homework 9 (Due Thursday, March 13th)
Section 4.5: 12(b), 13(c), 16.
Section 4.6: 4(c), 8(b), 12, 19(a), 20(b)
Homework 10 (Due Thursday, March 27th (After spring break) )
Section 4.6: 16 (What is the dimension of W?), 24, 28(b)(see example
10 in 4.6), 34.
Section 4.7: 4, 6, 12, 22.
Homework 11 (Due Thursday, April 3rd)
Section 4.8: 2, 4, 10, 16(a, b, c, e, f), 21, 24.
Chapter Review(page 288, True/False): 4, 5, 8-15. If false give a counterexample which shows that the statement need not be true. Give concrete examples. (No credit without counterexamples).
Homework 12: (Due Tuesday, April 8th)
Section 6.1: 2, 4, 8(b), 11(b,c).
Homework 13: (Due Tuesday, April 22nd)
Section 6.1: 13 (also find the standard matrix of L), 20(b).
Section 6.2: 5, 6, 8, 19, 26.
On 5, 6, and 8 write what the kernel and range are. For example, if L(a,b)=(a +b,0) (example from class) then ker(L)={(a,-a)|a is a real number} and Range(L)={(r,0)|r is a real number.}
Homework 14 (Due Tuesday, April 29th)
Section 7.1: 6(b)(c), 18(a).
Section 7.2: 6(b)(d), 10(b)(d), 11c, 24.