The Social Effects of Disaster Displacement
“The disaster stretched human nerves to their outer edge. Those of us who did not
experience it can never really comprehend the full horror of that day, but we can at least
appreciate why it should cause such a
Math 253. Full 2W2
Exam # l
I. Trim ur Pulse
2. Thar: ctiL Em immihle 3x3 matrix A such $31.11 is lb: 2.2m man-1.1
[It _2
h. 111ame | isinmbieforallreaJ munbersk.
L
n. [H is a 2 x2 mania: will: delay = 2 . than the system A} = must be mmistenl.
Spring 2002-Exam 2
file:/Lovejoy%20Lab/Desktop%20Folder/spring2002exam2.html (1 of 5) [11/3/2002 12:27:56 PM]
Spring 2002-Exam 2
file:/Lovejoy%20Lab/Desktop%20Folder/spring2002exam2.html (2 of 5) [11/3/2002 12:27:56 PM]
Spring 2002-Exam 2
file:/
Mat. :51. 5mm:
Exmnl
1. TI'IJEDI'FIIB'E
a. Ifthe matrim A and Bcurnmutn. than matrices A! and l? must rmmmm: as wall.
In. It! is any squat» matrix. than the itcrncl at' .«1 must be a subset ofthc Iva-net am.
e. Ifthmc matters 5.11. that it'- in R' are l
Math 253, Spring 2005
1
Math 253
Linear Algebra Spring 2005
Class Meetings MTW-F, 11:00 - 11:50 AM, Lovejoy 212 Instructor Otto Bretscher, Olin 342 E-mail: [email protected] Office Phone: 859-5848, Home Phone: 872-7370 Office Hours (tentative)
ma253, Fall 2007 - Solutions for Problem Set Last
1. Problems from the textbook: a. Section 6.1 *26. The eigenvalues are 3 and 8. 28. The eigenvalues are 2, 3, and 5. *30. The eigenvalues are 3, 8, and 2. *32. 210 *44. Easy by multilinearity: det(kA)
ma253, Fall 2007 - Problem Set 8 Solutions
1. Problems from the textbook: a. Section 3.3 43. The point is that if we take a basis {v1, v2, . . . , vr} of V and a basis {w1, w2, . . . , ws} of W, then {v1, v2, . . . , vr, w1, w2, . . . , ws} will be a
ma253, Fall 2007 - Problem Set 7 Solutions
1. Problems from the textbook: a. Section 3.3, problems *18, *22, *26, *28, *30, *36, *38. *18 Well, if el professor is going to ask you to do things involving nasty matrices, it's nice when they come pre-ro
ma253, Fall 2007 - Problem Set 6 Solutions
*1. Let P be the linear space of all polynomials (of any degree). Show that no finite set of polynomials {p1(t), p2(t), . . . , pm(t)} can span all of P. (Hint: since there are a finite number of polynomials
ma253, Fall 2007 - Problem Set 5 Solutions
1. Problems from the textbook: a. Section 3.1, problems *18, *22, *38, *48.
*18. Row-reducing A gives rref(A) = 1 4 0 0
so the image is spanned by the first row, which is the only one that has a pivot. So
ma253, Fall 2007 - Problem Set 4 Solutions
1. Problems from the textbook: a. Section 2.3 1 The inverse is 8 -3 . -5 2
*2 The matrix is not invertible. *4 The inverse is
3 2 1 2 -3 2
-1 1 2 0 - 1 . 2 1 1 2
*12 Hard to do by hand; doing it with t
Math 253, Fall SHINE. Exam #2
Exam # 2
. . . . _. 3 2 _. ,
1. Find the maths of the linear transformation T(I)= 4 5 I nth respect to the
_ i] 1
hast , .
2] l
1). (i 2
2. For which values of the constant A is the matrix A: 5 )t s invertible?
4 D
Final Exam-Fall 2001
file:/C|/Documents%20and%20Settings/labuser/Desktop/fall2001finalexam.html (1 of 3) [5/8/2002 12:17:35 PM]
Final Exam-Fall 2001
file:/C|/Documents%20and%20Settings/labuser/Desktop/fall2001finalexam.html (2 of 3) [5/8/2002 12:1
The Negative Effect of Sports on America's Youth
As one of the major institutions within American society, sport has an effect on the every day lives of millions of citizens all across the country. Whether a participant in youth sports, a college or
The Role of Women in Roman Society
Throughout history Roman women and their role within Roman society has often been overlooked. While frequently overshadowed by the accomplishments of Roman men, women did indeed play an active and important role wi
The Evolution of the Roman Legions
The use of violence as a means of achieving political, economic, and social goals, among other things, is a big part of why the Roman Empire was so successful and dominant for so long. Just as we can document the e
Bringing Words to Life: The Power of Singing and Chanting Sacred Texts
When thinking about the religious traditions discussed and practiced throughout this semester it is clear to see that they all have one thing in common. Whether it is Zen chants,
Math ass. Spring sum 1
Exam# 1
l. Totem-False?
T F Fore'li'et'jpr invertible an matrixA there existsanonzere nxn man'ix
Bsuehthat AH isthezerornatrix.
E k -
T F Thematrtx L2 is invertible for all real numbers k.
T F Iftwo invertible rnataieesA an
Spring 2001-Final Exam
file:/C|/Documents%20and%20Settings/labuser/Desktop/spring2001finalexam.htm (1 of 3) [5/7/2002 7:39:20 PM]
Spring 2001-Final Exam
file:/C|/Documents%20and%20Settings/labuser/Desktop/spring2001finalexam.htm (2 of 3) [5/7/2002
Mitt 253.1% 21001 I
FimLNm: .lantName: '
Enn1#1
hwmhmJMS-ciy
A
l. TriturFIhiCnleTuTYmm-iumEpointsfmuchmrmm,udl
pointifymdm*lmw.o Earl-union is "mind.
T F The-quinine:[A+H]1=A=+1&B+Bhnkhrlnxnnmm
andB.
T F Theadmimufuuquam 2.1'1+3.z,+4-.2t:,+
ma253, Fall 2007 - Problem Set 3 Solutions
1. Problems from the textbook: a. Section 2.1 0 0 0 doesn't go to 0. 1. Not linear. For example, 0 0 y1 x1 3. Not linear. If we scale x2 by , the output becomes 2y2, which x3 y3 is not times the ori
ma253, Fall 2007 - Problem Set 2 Solutions
1. Problems from the textbook: a. Section 1.1, problem *46 The equations are x1 + x2 + x3 = 1000 .2x1 + .5x2 + 2x3 = 1000. Row-reducing and solving leads to 5a - 5000 x1 3 x2 = -6a + 800 , 3 x3 a where
ma253, Fall 2007 - Solutions for Problem Set Last
1. Problems from the textbook: a. Section 6.1 *26. The eigenvalues are 3 and 8. 28. The eigenvalues are 2, 3, and 5. *30. The eigenvalues are 3, 8, and 2. *32. 210 *44. Easy by multilinearity: det(kA)
ma253, Fall 2007 - Problem Set 8 Solutions
1. Problems from the textbook: a. Section 3.3 43. The point is that if we take a basis {v1, v2, . . . , vr} of V and a basis {w1, w2, . . . , ws} of W, then {v1, v2, . . . , vr, w1, w2, . . . , ws} will be a
ma253, Fall 2007 - Problem Set 7 Solutions
1. Problems from the textbook: a. Section 3.3, problems *18, *22, *26, *28, *30, *36, *38. *18 Well, if el professor is going to ask you to do things involving nasty matrices, it's nice when they come pre-ro
ma253, Fall 2007 - Problem Set 6 Solutions
*1. Let P be the linear space of all polynomials (of any degree). Show that no finite set of polynomials {p1(t), p2(t), . . . , pm(t)} can span all of P. (Hint: since there are a finite number of polynomials