Assignment 2, Math 2S3
Due Feb. 4 in class
(1) (a) How many elements are in an n-dimensional vector space
over the eld with 2 elements, Z2 ?
(b) How many invertible 2 x 2 matrices are there over Z2 ? How
many invertible 3 x 3 matrices are there over Z2 ?
M ATH 2S03: L INEAR A LGEBRA III, W INTER 2009
DUE :
H OMEWORK 2
F RIDAY 16 J ANUARY 2009
Required problems (to be handed in):
1. Find a general formula for the quotient of two complex numbers. In other words, if a + bi, c + di are
two complex numbers and
Assignment 1, Math 2S3
Due January 20, in class
1. In class we showed that in any group, the inverse is unique. If (G, ) is
a group and we write u for the inverse of u, show that (u) = u for
all u G.
2. Give an example of a non-commutative semi-group whic
M ATH 2S03: L INEAR A LGEBRA III, W INTER 2009
DUE
H OMEWORK 6
F RIDAY 27 F EBRUARY 2009
This sequence of Required/Recommended Problems analyzes in detail the adjoint representation of su(2)
on su(2). That is just a fancy way of saying that the 2 2 matric
M ATH 2S03: L INEAR A LGEBRA III, W INTER 2009
DUE
H OMEWORK 7
F RIDAY 6 M ARCH F EBRUARY 2009
R EQUIRED PROBLEMS
(1) Let V = C be the standard complex n-dimensional vector space equipped with the standard hermitian inner product. Let W V be a k-dimension
Math 2S3
Dr. Bradd Hart
Apr. 21, 2014
This examination is 3 hours in length. Attempt all 10 questions. The total number of available
points is 50. Marks are indicated next to each question. Write your answers in the booklets
provided. You must show your w
Math 2S3, Practice test
Please write complete answers to all of the questions in the test booklet provided. Partial credit may be given for your work. Unless otherwise noted, you
need to justify your solutions in order to receive full credit. Please be su
Math 2S3, Test 2
March 13, 2015
Please write complete answers to all of the questions in the test booklet provided. Partial credit may be given for your work. Unless otherwise noted, you
need to justify your solutions in order to receive full credit. Plea
Math 2S3, Test 1
Bradd Hart, Feb. 6, 2015
Please write complete answers to all of the questions in the test booklet provided. Partial credit may be given for your work. Unless otherwise noted, you
need to justify your solutions in order to receive full cr
M ATH 2S03: L INEAR A LGEBRA III, W INTER 2009
DUE :
H OMEWORK 10
F RIDAY 3 A PRIL 2009
Required problems (to be handed in):
1. What is d(C) (as dened in class for a linear code C) for the ISBN linear code in V (10, 11)?
2. Prove: if C is a p-ary [n, k]-c
M ATH 2S03: L INEAR A LGEBRA III, W INTER 2009
H OMEWORK 8
20 M ARCH 2009
DUE
Required problems:
All notation and terminology follows the lectures.
1. Recall that Kirkhoffs Current Law states that, for a solution I C1 to the network problem, the
algebraic
M ATH 2S03: L INEAR A LGEBRA III, W INTER 2009
H OMEWORK 9
D UE : 27 M ARCH 2009
Required problems (to be handed in):
1. This problem puts together everything weve discussed about electrical networks, using the theory to
actually solve the network problem
American Economic Journal: Economic Policy 2 (August 2010): 3263
http:/www.aeaweb.org/articles.php?doi=10.1257/pol.2.3.32
The Effect of Fast Food Restaurants on Obesity and
Weight Gain
By Janet Currie, Stefano DellaVigna,
Enrico Moretti, and Vikram Pathan
WORK AS AN APPLICATION OF THE DEFINITE INTEGRAL
Typing this document requires a lot of work. If said in the presence of a physicist, they might
wonder as to what planet does this moron come from?
WORK DONE BY A CONSTANT FORCE ACTING ALONG A STRAIGHT LINE
JKIMSU, Vol. 1, No. 2, July-Dec. 2012
ISSN 2231-4261
REVIEW ARTICLE
Fast Foods and their Impact on Health
Ashakiran1* & Deepthi R2
1
Department of Biochemistry, 2Department of Community Medicine, Sri Devaraj Urs Medical
College, Kolar-563101 (Karnataka),
Note: Below is a sample format in preparing your SWOT Analysis. Pls prepare
your own.
SWOT ANALYSIS
STRENGTHS
WEAKNESSES
Clean and safe source of water
Over population
INTERNAL
OBJECTIVES
PLANS
OF ACTION
ACTIVITY
RESOURCES
COMMUNITY
Ex. : To give
couples
Assignment 4, Math 2S3
Due Mar. 11 in class
(1) In Chapter XI of Langs book, the rst section is entitled The
Euclidean Algorithm but the main theorem he proves is really
just long division; lets actually prove the Euclidean algorithm:
suppose that f, g K[
Assignment 5, Math 2S3
Due Apr. 7, in class
1. (a) Suppose that N is the n n matrix with 1s above the diagonal
and zeroes everywhere else. Compute eN .
(b) Suppose that A = I + N - a Jordan block. Solve the system of
linear dierential equations y = Ay by
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Math 2S3, Test 2
March 13, 2015
Please write complete answers to all of the questions in the test booklet provided. Partial credit may be given for your work. Unless otherwise noted, you
need to justify your solutions in order to receive full credit. Plea
Assignment 2, Math 2S3
Due Feb. 4 in class
(1) (a) How many elements are in an n-dimensional vector space
over the eld with 2 elements, Z2 ?
(b) How many invertible 2 x 2 matrices are there over Z2 ? How
many invertible 3 x 3 matrices are there over Z2 ?
Assignment 3, Math 2S3
Due Feb. 25 in class
(1) Show that if A is an n n matrix over K then
cfw_f K[x] : f (A) = 0
is an ideal. Conclude that the generator of this ideal is the
minimal polynomial of A and it divides the characteristic polynomial of A.
(2)
Assignment 4, Math 2S3
Due Mar. 11 in class
(1) In Chapter XI of Langs book, the rst section is entitled The
Euclidean Algorithm but the main theorem he proves is really
just long division; lets actually prove the Euclidean algorithm:
suppose that f, g K[
Paraphrase
2.1 Moderating intake of Fast food is a good way to balance unhealthy and healthy foods.
Reference: Fast foods and their Impact on health
Fast food have certainly stocked up the Third World due to globalization. It has been a part of life
devel
May isang lugar na tinatawag na Makiling. Ang lugar na ito ay
pinamumunuan ng mga lalaki. Sa lugar na ito, ang trato sa mga babae
ay hindi tama. Sila ang nagsisilbing alipin ng mga lalaki at kapag hindi
nila ito sinusunod ay may kaparusahang ipinatapataw
CHEW ON THIS
Teachers Pack
Written by Prue Goodwin, freelance lecturer and consultant on literacy and childrens books
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co.uk
chewonthisbook.co.uk
Can you stomach the truth?
Read on for a taster of Chew on This . . .
Pu
Audrey Louise Mendoza
Feb. 20, 2017
Hum10
Reaction Paper 1
Jeremiah 29:11
For I know the plans I have for you, declares the Lord, plans to prosper you
and not to harm you, plans to give you hope and a future. Ive chosen this title
because its somehow rela
Name
"iii " 7" i"6.3 Volume using cross sections
( calculator okay)
1. Find the volume of the solid whose base is the circle x2 + y2 _= 1
' 6' i l. x:
(a) if cross sections taken perpendicular to the x-axis are circles
@ A(x)=1rrj wkm r= l~O
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