Math 221
Lab 1
In this document well go over the basics of MATLAB. There are 6 questions you need to complete for this
assignment, which are included in the text below, and repeated all together at the end of the document.
You must submit the document on
Physics 1C
Spring 2011: Final Exam Preparation
1
The following are additional questions that you may use to prepare for the final exam. You can find the answers at the end of the document, however, no solutions will be provided. Some of these may overlap
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Section 6.7: if we have time to cover this section I will give you the
problems later.
Section 7.1: 9, 10, 13, 17, 21, 23
Section 7.2: 5, 19, 20
1
Mathematics 221, Section 103, Midterm 2 solutions
Instructor: Z. Reichstein.
This is a closed book exam. In order to receive full credit for a problem you need to show
enough work to justify your answer.
Problem 1: (3 marks) For what values of x do the ve
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Section 5.2: 7, 11, 21
Section 5.3: 5, 11, 13, 18, 21
Note: after you write down the characteristic polymonial, you should try
to factorize it to nd the eigenvalues .
1
Mathematics 221, Section 103, Midterm 1 solutions
This is a closed book exam. In order to receive full credit for a problem you need to show
enough work to justify your answer.
Problem 1: (4 marks) Solve the linear system
x1 + x2 + x3 = 4
2x1 + x2 + 3x3
Name:
CALL Z 4' c WWW Student Number:
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Dynamical Systems and Matrix Algebra
K. Behrend
April 3, 2008
Abstract
This is a review of how matrix algebra applies to linear dynamical
systems. We treat the discrete and the continuous case.
1
Contents
Introduction
4
1 Discrete Dynamical Systems
1.1 A
Applied Math 247
Exam #1: Summer 2013
Answer the questions in the spaces provided on the question sheets. If you run out of room for an
answer continue on the back of the page. No notes, books, or other aids may be used on the exam.
Student Id:
Answer Key
No books. No notes. No calculators. No electronic devices of any kind
Show your work in order to get full credit
Name: Student Numb er:
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No books. No notes. No calculators. No electronic devices of any kind
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Name: Student Number:
6 2 0
Problem 1 (4 points) Let 7 = 0 , 7 = 0 , W = 1 .
1 2 7
cfw_1) Determine whether or not 7, and W span all of R3. Sh
Math 221-, Section 201, Winter 2016 Term 2
No books. No notes. No calculators. No electronic devices of any kind
Show your work in order to get full credit
Name: Student Number:
Problem 1 (4 points) Find the motrta: of the linear transformation T : R2 >
Quiz 1-Practice 1
Problem 1 For each of the three matrices A, B, C explain why it is not in rref.
Also decide whether or not each matrix is in ref
0 0 1 3 0
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2
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2
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3
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B= 0
0
0
A= 0
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Prob