SOLUTIONS TO SELECTED HOMEWORK PROBLEMS (2)
3.4, Q24. The Legendre polynomials are obtained by applying the GramSchmidt process
to the polynomials cfw_xn | n = 0, 1, 2, . . .. Over the interval [1, 1], even and odd polynomials
are orthogonal, so the fourt
MA511: PRACTICE TEST 3
Answer all questions (each worth 4 points). Show your working for any question not split into
(a),(b),(c),(d). No calculators or other electronic devices are allowed.
1. How many solutions are there to the following system of equati
9
Standard Gaussian Elimination
Probably the best known method for solving a square system Ax = b is Gaussian elimination. It represents, as well as the QR method, a direct way of solving such systems.
The aim of Gaussian elimination is also to reduce a l
HOMEWORK 5
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2016
From the official course book - Linear Algebra and its applications (Gilbert
and Strang, fourth edition):
Section 2.2
pag 85 ex. 12, 19, 24, 25, 26, 63.
Section 2.3
pag 98 ex. 6, 27, 35, 40.
The ho
9/14/2015 LDL factorization of symmetric matrices and Cholesky factorization of Positive denite matrices
Next: Permutation Matrix Up: Direct Methods for Linear Previous: Doolittle Crout's and Choleski
LDL factorization of symmetric matrices and Cholesky
HOMEWORK 1
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 1.2
pag 10 ex. 1, 3, 10.
Section 1.3
pag 17 ex. 11, 15, 24.
Section 1.4.
pag 30 ex. 10, 11, 13.
Section
' NAME, 34 H ie 40026351100 >
Midterm Math 511 (Moh) Sept 30 2015
6 Write your answers on the test paper!
a For decimal approximations, it is enough to give 2 decimal places.
0 Show enough of your work that your reasoning can be followed.
0 There are 6 p
HOMEWORK 8
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Review Exercises Chapter 3.
pag 221 224
ex. 3.31, 3.33, 3.36, 3.38
Section 4.2.
pag 231 236
ex. 7, 12, 14, 20,
HOMEWORK 9
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 4.3.
pag 241 247
ex. 1, 4, 5, 7, 13, 17, 27, 30, 40, 43
Section 4.4.
pag 253 259
ex. 2, 4
The homework
HOMEWORK 6
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2016
From the official course book - Linear Algebra and its applications (Gilbert
and Strang, fourth edition):
Section 2.3
pag 98 ex. 13, 16, 20, 29, 30.
Section 2.4
pag 110 ex. 4, 6, 9, 18, 29, 37
The
HOMEWORK 2
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Chapter 1. Review Excercises
pag 65 - 67
ex. 1.12, 1.13, 1.15, 1.17, 1.27, 1.28.
The homework is due on Tuesday
HOMEWORK 6
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 3.1.
pag 167 171
ex. 11, 28, 33, 38.
Section 3.2.
pag 177 180
ex. 3, 8, 14, 22, 25.
Section 3.3.
pag 19
Practice Problem Set 21
MATH 511
1. Let V be the row space of
Spring 2015
1 2 3
A = 4 5 6 .
7 8 9
Also, let W be the column space of
1 1
B = 0 1 .
2 4
(1) Find V , V + W .
(2) Which of the following statements is true?
A.
B.
C.
D.
E.
V and W are orthogona
HOMEWORK 11
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 5.5
pag 321 326
ex. 8, 9, 11, 12, 14, 15, 19, 30
Section 5.6.
pag 335 340
ex. 1, 11, 16, 30
The homewo
HOMEWORK 3
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 2.1.
pag 73 - 77
ex. 8, 11, 12
Section 2.2.
pag 85 - 91
ex. 9, 13, 24, 25, 43
Section 2.3.
pag 98 - 102
HOMEWORK 10
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 4.4.
pag 253 259
ex. 20, 25, 30, 41, 43
Section 5.1.
pag 268 272
ex. 5, 8, 14, 20, 24, 27, 29, 38
Sect
HOMEWORK 7
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 3.3.
pag 190 195
ex. 19, 21, 30, 40, 41
Section 3.4.
pag 208 211
ex. 8, 13, 15, 23, 24, 32
The homework
MA511: PRACTICE TEST 2
Answer all questions. No calculators or other electronic devices are allowed. For questions 1
to 5, you may write down the answers without showing your working.
1. (4 points) Which of the following functions R3 R are linear maps?
(a
HOMEWORK 4
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2015
From the official course book - Linear Algebra and its applications (Gilbert
Strang):
Section 2.4.
pag 110 - 114
ex. 6, 9, 16, 17, 18, 27, 29, 38
Section 2.5.
pag 122 - 124
ex. 1, 2, 10, 18, 19, 20
MA511: EXAM 1 (20.09.2013)
Answer all questions. No calculators or other electronic devices are allowed. For 5 points,
write your name on the question paper and hand it in together with your solutions. For
questions 1 to 5, you may write down the answers
SUlwrezmr. '
MATH 511 Midterm Name
1. Let A be a 3 by 4 matrix:
1 0 2
A: 1 1 3
2 1 3
(a) (10 points) Factor A = LU.
(b) (20 points) Find bases for all four fundamental subspaces of A. 2 it
(
MATH 511 Midterm
Name
2. Suppose A is a 3 by 3
w=<
complete
MA 511 Midterm I
Spring 2016 Section:
NAME:
Student ID:
Books, notes or any kind of calculator are NOT allowed.
Only one letter size paper of cheat sheet is allowed.
Problem Score
1
2
3
4
5
6
7
Bonus
Total
Honor Pledge: I have neither received nor given a
HOMEWORK 2
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2016
From the official course book - Linear Algebra and its applications (Gilbert
and Strang, fourth edition):
Section 1.3
pag 15 ex. 10, 12, 15, 20, 24, 28.
Section 1.4
pag 26 ex. 2, 7, 24, 31, 45.
The
HOMEWORK 4
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2016
From the official course book - Linear Algebra and its applications (Gilbert
and Strang, fourth edition):
Section 2.1
pag 73 ex. 5, 7, 10, 21, 22, 28.
Section 2.2
pag 85 ex. 2, 4, 7, 9.
The homewor
HOMEWORK 3
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2016
From the official course book - Linear Algebra and its applications (Gilbert
and Strang, fourth edition):
Section 1.5
pag 39 ex. 5, 6, 15, 16, 24, 38.
Section 1.6
pag 52 ex. 10, 16, 17, 38, 40.
The
Math 511 Linear Algebra with Applications
Instructor: Victor Lie
Office: Math 732
Email: [email protected]
Office Hours: TR: 11:50am-12:50pm
Course Information: Fall 2016
MA 51100 on TR at 10:30 - 11:45 in REC 317
Teaching Assistant : Yang Zhang
Office: TBA
HOMEWORK 1
511 LINEAR ALGEBRA WITH APPLICATIONS
FALL 2016
From the official course book - Linear Algebra and its applications (Gilbert
and Strang, fourth edition):
Section 1.2
pag 9 ex. 1, 2, 3, 5, 10, 13, 16, 18, 22, 23.
The homework is due on Tuesday, 3
CourseSmart - Instructors - Print
4/4/13 10:10 AM
User name: HONG WAN Book: Design and Analysis of Experiments, Eighth Edition Page: 385. No part of any book may be reproduced or transmitted by any means without the
publisher's prior permission. Use (othe
Design of Engineering Experiments
The Blocking Principle
Text Reference, Chapter 4
Blocking and nuisance factors
The randomized complete block design or
the RCBD
Extension of the ANOVA to the RCBD
Other blocking scenariosLatin square
designs
Chapter
Chapter 3
Design & Analysis of Experiments
8E 2012 Montgomery
1
What If There Are More Than
Two Factor Levels?
The t-test does not directly apply
There are lots of practical situations where there are
either more than two levels of interest, or there ar
CourseSmart - Instructors - Print
4/4/13 10:09 AM
User name: HONG WAN Book: Design and Analysis of Experiments, Eighth Edition Page: 376. No part of any book may be reproduced or transmitted by any means without the
publisher's prior permission. Use (othe