Quiz 2 Solutions
February 28, 2005
Problem 1 For the first part: the equation of the plane orthogonal to a given v R3 is x v = 0. Applying this formula to our problem and writing x = (x, y, z), we get x + 2y + 3z = 0. For the second part, we have
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Midterml 201, Fall 2016
Instructor: Wenjing Liao
0 Please keep your own work covered up as much as possible dur-
ing the exam so that others will not be tempted or distracted.
o No notes, books or calculators are allowed.
0 Read each problem carefully. Sh
Midterml 201, Fall 2016
Instructor: VVenjing Liao
0 Please do not assist another person in the completion of this
exam. Please do not copy answers from another students exam.
Please do not have another student take your exam for you.
Please keep your own
Final Review Outline
December 9, 2016
Test format: There will be 13 problems and you choose to do 12 problems. All problems are computational. There are no True/False questions. Notice that some problems in midterms, after being modified,
will appear in f
Midterm1 201, Fall 2016
Instructor: Wenjing Liao
Please keep your own work covered up as much as possible during the exam so that others will not be tempted or distracted.
No notes, books or calculators are allowed.
Read each problem carefully. Show al
Midterm1 201, Fall 2016
Instructor: Wenjing Liao
Please do not assist another person in the completion of this
exam. Please do not copy answers from another students exam.
Please do not have another student take your exam for you.
Please keep your own wo
Midterm 2 Review Outline
November 11, 2016
Test format: There are 6 problems in total. The first problem contains 10 True/False questions. The
True/False question is like:
Question: 11 vectors in R10 can be linearly independent.
Answer: False.
The followi
Midterm 1 Review Outline
October 1, 2016
Test format: There are 5 problems in total. The first problem contains 10 True/False questions. The
True/False question is like:
Question: 11 vectors in R10 can be linearly independent.
Answer: False.
Midterm 1 cov
December 5, 2013
Mandela Taught a Continent to Forgive
By JOHN DRAMANI MAHAMA
ACCRA, Ghana FOR years, it seemed as though only one photograph of Nelson Mandela
existed. It showed him with bushy hair, plump cheeks, and a look of serious determination. But
Comcast Corporation
Income Statement (all numbers in thousands)
Revenue
Total Revenue
Cost of Revenue
Gross Profit
12/31/2015
74,510,000
22,550,000
51,960,000
12/31/2014
68,775,000
20,912,000
47,863,000
Operating Expenses
Research Development
Selling Gene
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110.201 Linear Algebra 3rd Quiz
March 25, 2005
Notation. Pn = space of polynomials, with real coefficients, of degree at most n. Rmn = space of m by n real matrices. Problem 1 Find out which of the following transformations are linear and for those
110.201 Linear Algebra 4th Quiz
April 8, 2005
Problem 1 Find an orthogonal basis for the plane x - y + z = 0, viewed as a subspace of R3 . Solution So it is easy to see that the basis for the plane is 1 1 v1 = 1 , v2 = 0 -1 0 Now let's use Gr
110.201 Linear Algebra 4th Quiz
April 8, 2005
Problem 1 Let ei , i = 1, 2, 3, 4 be the standard basis of R4 . Is there an orthogonal matrix A with 0 0 0 0 1 0 Ae1 = , Ae2 = 0 , Ae3 = 0 , Ae4 = 2 0 1 1 0 0 - 2 2
2
1
1 2
or n
110.201 Linear Algebra 3rd Quiz Solutions (Thursday)
March 24, 2005
Notation. Pn = space of polynomials, with real coefficients, of degree at most n. Rmn = space of m by n real matrices. Problem 1 Determine whether the following spaces are isomorp