MATH 254: HOMEWORK
CHAPTERS 4 and 5
• The assignments for Chapters 4 and 5 are due on the day that you take Midterm 2.
• Answers to odd-numbered problems are in the back of the textbook.
• Show work where appropriate,
write your name on your homework
, and use the Student
Solutions Guide wisely.
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CHAPTER 4
Section 4.1 (p.169) #1-13 odd, 17-23 odd
Section 4.2 (p.176) #1-11 odd, 13-24 all, 31, 32
#24: See pp.173-174.
#31, 32: You don’t have to justify your “True” answers.
Section 4.3 (p.184) #1-4 all, 7-12 all, 14-21 all, 23-26 all, 28, 29
Note:
∈
means "is a member of"
#28: The union of two sets is the set of all elements that are in one or both sets.
A graphical perspective may help.
#29: We want to show that the set of all
2
×
2
matrices that commute with
A
(in a multiplicative sense) form a subspace of
M
2,2
.
Section 4.4 (p.196) #1, 3a, 5-33 odd, 35abd, 37, 39, 43, 45, 47, 48, 49, 53, 54