Homework Assignments

Math 304-07: Linear Algebra: Spring 2017
Tom Zaslavsky

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* Check WebWork often for other homework assignments *

Written homework instructions:

  1. Write neatly and legibly, or type. Do not hand in a solution with much crossed out; that is your scrap work.
  2. Give complete explanations of what you do.
  3. Do not consult any reference source, especially not the Internet. If you do, you will be losing the chance to learn. If you can't answer the question, say so on your paper.
  4. Do not copy the solution from anyone or any place.
  5. I encourage you to discuss the problems with other students, but you must write your solution in your own words.
  6. The homework is due at the beginning of class. If you're late – oh, oh – give me the homework as soon as you arrive and see me after class.

Secret code:   § = section.   Doubling the symbol means plural.

Date Reading & Study Topics Homework exercises
for discussion on		 Hand in on Notes
W-Th
1/18-19 		§§ 1.1–1.3
and the Preface. 		(4)–(7) in the textbook.
F 1/20 §§ 1.4–1.6.3. M 1/23: (8)–(10)
Tu 1/24 § 1.6 (all). F 1/27: (10)
S1(§1.7) ## 2, 4, 14, 16.
Sun 1/29 §§ 2.1–2.3. Matrix algebra HW 1, W 2/1:
(10) 1, 2, 3, 7; (13) 1, 3, 4.
Th 2/2 F 2/3:
(14) 1, 2;
(15) 1, 2(a,c,e), 4.
Th 2/2
Sun 2/5 		§§ 2.3–2.6. Matrix algebra;
Linear comb.;
Linear transf.		 M 2/6: (15) 5, 6;
(20) 1, 3; (21) 1. 		HW 2, W 2/8:
(16); (17); (18);
(19) 1; (20) 2; (21) 2, 3. 		Check WebWork often.
Sat 2/11 §§ 1.6.1,
2.7–2.9.		 Inverse transf.;
Inverse matrices		 Th 2/16:
(21) 4; (22) 1, 2;
(25) 1(a,b); (27) 1. 		HW 3, F 2/17:
(21) 5; (22) 3, 4;
(24) 1–2; (25) 1(c), 2;
(26) 2; (27) 2.
Th 2/23 §§ 3.1-3.3 Vector geometry;
Types of linear
  transf. in R2;
Vector subspaces;
Linear span		 F 2/24:
(34) 1(b);
(35) 1(a), 2(a);
(36) 1. 		HW 4, M 2/27:
(32); (33);
(34) 1(a,c);
(35) 1(b), 2(b);
(36) 2, 3. 		In (33): Neatness counts.
Label original and image points A,B,C,D
so you know how the new point
arrangement compares to the original.
In (a-g) classify the linear transformation
according to the types discussed in § 3.2.3.
Tu 2/28 § 3.4 Linear indep. Th 3/2: (36) 4;
(38) 1(a-c). 		HW 5, W 3/8:
(36) 5; (37) 1;
(38) 1(e,f).
Th 3/9 § 3.5
(for F 3/10)		 Bases, coordinates HW 6, M 3/13:
(39) all
M 3/13,
W 3/15		 §§ 3.6-3.7
(for F 3/17)		 Transf. Rn→Rm :
Null & col. spaces;
Kernel & image		 HW 7, M 3/20 W 3/22:
(42) 3, 4; (43) 2.
Th-F,
3/16-17		 §§ 4.1-4.2
(for M 3/20);
§ 4.3
(for W 3/22)		 General vector
  spaces:
Linear indep., bases		 Th 3/23:
S3-28, 29;
(45) 1, 3; (46) 1. 		HW 8, F 3/24 M 3/27:
(S3) 30, 31;
(45) 2; (46) 2. 		Th 3/23: I expect to have a quiz on
§§ 4.1-4.2, possibly on the assigned
discussion problems.
M 3/27 § 4.4-7
(for W 3/29)		 Isomorphism,
  coordinates, &
  dimension;
Weird vector spaces		 Th 3/30:
(46) 1, 2; (47) 1; (50) 1;
(S4) 1-3. 		HW 9, F 3/31:
(S3) 22, 32, 34;
(S4) 4-6. 		Test 2 on Tu 4/4 covers Ch. 3
& Ch. 4 to §4.7 (inclusive).
No infinite dimensions.
W 4/5 § 4.8 Linear transf.,
  coordinates, &
  their matrices		 HW 10, W 4/19 M 4/24:
(51) 2; (52) 1-4;
(53) 2; (54) 1, 2, 4, 6.
W 4/5
W 4/19		 §§ 5.1, 5.2
(for Th 4/20)		 Determinants;
§4.8 review: matrices
  of linear transfs.
  & change of basis		 Th 4/20:
(56) 1(e-g); (58) 1(c). 		HW 11, F 4/21:
(58) 1e. 		We'll go through determinants quickly.
W 4/5 § 5.3
(for M 4/24)		 Eigens This is the heart of linear algebra.
W-F 4/26-28 §§ 5.4, 6.1
(for M 5/1)		 Inner product &
  orthogonality		 W 5/3:
(60)-(62) 1(c,f). 		HW 12, M 5/1:
In (60)-(62) do 1(g,i). 		More h.o.l.a.
Tu 5/2
Th 5/4		 § 6.2
(for Wed.)		 Orthogonality F 5/5: (65) 1a, 3a, 5. HW 13, F 5/5:
(65) 6; (66) 1-2; (67) 1.
    – Orthogonal
  projection,
  bases, matrices		 M 5/8: (68); (69).

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