Fall 2016 - Math 355 - Homework 3
Due: Friday, September 9th.
All vector spaces are vector spaces over R, unless explicitly stated otherwise.
(1). (21 points, 1.3.1) Determine whether the following statements are true
or false. For each one, give a brief
Fall 2016 - Math 355 - Homework 2
Due: Friday, September 2nd.
All vector spaces are vector spaces over R, unless explicitly stated otherwise.
(1). (20 points, 1.2.1) Determine whether the following statements are true
or false. For each one, give a brief
Fall 2016 - Math 355 - Homework 1
Due: Friday, August 26th.
You may find it helpful to read Appendix A in the text. Below is a summary.
Definition. A set S is a collection of distinct objects. The objects that
make up a set are called its elements. If an
MATH 355 Section 001 : Linear Algebra Fall 2013
Time: MWF 2:00 - 2:50
Location: HRZ 212
Instructor: Sho Tanimoto
Office: 210 Herman Brown
Email: [email protected]
Office hours: Monday 3:00 -4:00, Friday 11:00 - 12:00
Objectives of the course:
The main objecti
1. (5 points each) State whether the following are true or false. If false, give a
counterexample.
a. det(A + B) = det A + det B.
Solution:
1 0 0
False. Counterexample: A = 0 1 0 , B =
0 0 1
But det A = 1, det B = -4, and det (A + B) = 0.
1 0 0
0 2 0
1. (5 points each) State whether the following are true or false. If true, say why. If false,
give reasons or give a counterexample.
a. The kernel of a linear transformation is a vector space.
Solution:
True. The kernel of a linear transformation is a sub
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Fall 2016 - Math 355 - Homework 4
Due: Friday, September 16th.
All vector spaces are vector spaces over R, unless explicitly stated otherwise.
(1). (5 points) Find all solutions to the following system of equations.
5x1
2x1
2x1
+ 2x2
+ 2x2
x2
+ 12x3
+ 6x