Homework, MATH 240, Fall 2012
Homework is from our text (Lay, Edition 4) unless indicated.
You will usually learn the most if you work on the homework alone
before consulting solutions or a classmate. (But, do consult
classmates.)
If the assignments below are changed or augmented, I'll email
the class.
- Sec 1.1: 1-33 (odd) and 24,34
- Sec 1.2: 1-23 (odd) and 22,31,33
- Sec 1.3: 1-25 (odd) and 24,29
- Sec 1.4: 1-25 (odd) and 24,29,30,34
- Sec 1.5: 1-39 (odd) and 24,28,30
- Sec 1.7: 1-29 (odd) and 22,33-38
- Sec 1.8: 1-25 (odd) and 22,24,26,32,33
- Sec 1.9: 1-25 (odd) and 22,29-32
- Sec 2.1: 1,3,5,7,8,9,10,13,15,16,19,20,21,23,27
- Sec 2.2: 1,3,7a,9,10,11,13,15,19,29,31,34
- Sec 2.3: 1,3,5,11,12,13,14,15,19,21,27,33
- Sec 2.4: 1,3, 5
- Sec.3.1: 1, 7, 15, 19, 20, 21, 39b, 40
- Sec.3.2: 1-4, 5, 9, 15-21, 27-30, 35, 39-41
- Sec.3.3: 1, 7, 11, 19, 21, 27, 31, 32
- Sec 4.1: 1,2, 3,5,6,7,8, 9,11,13,15,17,19, 21, 23-31
[Math majors: these exercises, in particular 25-31, are
especially good for you.]
- Sec 4.2: 1-35 (odd) and 26
- Sec 4.3: 1-15 (odd), 19-27 (odd) and 22,33
- Sec. 4.4: 1-33 (odd) and 16
- Sec. 4.5: 1-31 (odd) and 20,30
- Sec. 4.6: 1-33 (odd) and 18
- Sec. 4.7: 1-15 (odd)
- Sec. 5.1: 1,3,4,7,9,15,17,21,22,23,24,25,29
- Sec. 5.2: 1,3,7,13,15,17,18,21,22,24,25
- Sec. 5.3: 1,3,5,7,9,11,13,21,23,24,25,27,31
- Sec. 5.4: 1-15(odd), 19,20,21,25
- Sec. 5.5: 5,7,9,13,15,23,24
- Sec 6.1: 1,5,9,13,15,17,19,20,22,23,24,25,29,31
- Sec 6.2: 3,7,11,13,15,17,23,24,27,29
- Sec 6.3: 1,3,7,9,11,15,17,21,22
- Sec 6.4: 3,7,13,17-19
- Sec 6.5: 1,5,7,9,13,15,17,18,19
- Sec 6.6: 1,3,5,9
- Sec 7.1: 1,3,5,7,9, 13,15,17, 25,26,33,34
- Sec 7.2: 1,3,5,7,9,11,20-24,27
- Sec 7.3: 1, 3ab, 5ab,6ab, 7, 9,11
- Sec. 7.4: 1,3,14,15
Also the following Problem:
For the matrix A=[4 3 ; 2 1], let E be the ellipse
which is the set of all vectors Ax such that ||x||=1.
(i) What is the length of the major axis of E?
(ii) Find a matrix B such that x is on the line containing
the major axis of E if and only if Bx=0.