# 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.