Exam 1 Answers
1. Let
Math 232, Spring 2008
0
1 3
A= 2
4 4 ,
1 1 0
0
b = 14 ,
0
14
c = 0 .
14
Compute A1 and use it to solve Ax = b and Ay = c. Clearly mark your answers.
Answer: [Ill not show the work here.]
2/7 3/14 4/7
A1 = 2/7 3/14
3/7 ,
3/7 1/14 1/7
Exam 2
Math 232, Winter 2009
This exam begins for you when you open (or peek inside) this packet. It ends at 9:50 AM
on Wednesday 2009 February 25. Between those two times, you may work on it as much as
you like. I recommend that you get started early and
Final Exam
Math 232, Spring 2008
You have 150 minutes. You may not use any calculator or cheat sheet.
Show your work. Useful work often earns partial credit; correct answers with no explanation often
earn no credit.
If you have forgotten a key formula or
Exam 1 Sample Questions
Math 232, Spring 2008
Here are some sample questions, like those that you might see on our in-class midterm exam.
This document is not a contract; I am not promising that the exam will cover this material or
that it will have this
Exam 2
Math 232, Spring 2008
This exam begins for you when you open (or peek inside) this packet. It ends at 5:00 PM on Tuesday
2008 May 27. Between those two times, you may work on it as much as you like. I recommend that you
get started early and work o
Exam 1
Math 232, Winter 2009
Carleton College Math 232, Winter 2009, Exam 1
You have 70 minutes.
You may not use any notes or calculator.
Except on TRUE/FALSE/PUNT questions, always show your work and explain your answers.
Good work often earns partial cr
Exam 2 Answers
Math 232, Spring 2008
1. Find a basis for the orthogonal complement of the span of cfw_u, v, w.
Answer: Let A be the 3 4 matrix with columns u, v, w. Then the span of cfw_u, v, w is the image
of A, and the orthogonal complement of the span
Exam 2 Answers
Math 232, Winter 2009
1. Explain in detail how you would nd the t curve using techniques of this
course. (Warning: To check your answer, you might want to make up four data
points and work out the solution explicitly.)
Answer: We want to so
Exam 1
Math 232, Spring 2008
Carleton College Math 232, Spring 2008, Exam 1
You have 70 minutes.
You may not use any notes or calculator.
Always show your work and explain all of your answers. Good work often earns partial credit.
A correct answer with no
Exam 1 Answers
Math 232, Winter 2009
1. Every morning thousands of people drive from town T and village V to the city C to work,
along the eastbound roads depicted in the map. Each road is labelled with its load (the number
of cars on the road, on a typic
Final Exam
Math 232, Winter 2009
Carleton College Math 232, Winter 2009, Final Exam
You have 150 minutes.
You may not use any notes or calculator.
Except on TRUE/FALSE/PUNT questions, always show your work and explain your answers.
Good work often earns p