Math 210 E
Homework 5
Spring 2013
Drew Armstrong
Reading:
Sections 2.5 and 2.7 (We will skip 2.6)
Problems:
Section 2.4:
Section 2.5:
32, 34
2, 3, 4, 23, 28, 29
Additional Problems:
A.1. The following matrix rotates the plane counterclockwise by angle :
R
Math 210 E
Homework 7
Spring 2013
Drew Armstrong
Reading:
Section 4.3
Problems:
Section 4.3: 5, 7, 12, 17, 22
Additional Problems:
For these problems, use the following denition:
We say that P is a projection matrix if P T = P (that is,
P is symmetric) an
Math 210 E
Homework 9
Spring 2013
Drew Armstrong
Reading:
None
Book Problems:
None
Additional Problems:
A.1. The Gibonacci numbers are dened by G0 = 0, G1 = 1 and
1
1
Gk+2 = Gk+1 + Gk for all k 0.
2
2
That is, each new term is the average of the previous
Math 210 E
Homework 4
Spring 2013
Drew Armstrong
Reading:
Chapter 2.3 and 2.4
Problems:
Section 2.3:
Section 2.4:
19
1, 6, 7, 12, 13, 14, 23
Additional Problems:
A.1. Use elimination to solve the following system for x, y, z:
ax + by + cz = 0
Ax + By + Cz
Math 210 E
Homework 8
Spring 2013
Drew Armstrong
Reading:
Section 6.1
Problems:
Section 6.1: 2, 3, 4, 9, 13, 14, 17
Additional Problems:
A.1. Compute the 2 2 matrix P that projects onto the line through
(cos , sin ). Verify that (cos , sin ) and ( sin , c
Math 210 0 Exam 1
Spring 2010 Thursday February 25
This is a closed book test. No electronic devices are allowed. Persons caught cheating will
receive zero score. There are 6 pages and 6 problems, each worth 5 points.
Problem 1. Consider the plane II in
Starred Theorems
for Math 210 Exam 2
1. Let A be a square matrix. Then A is invertible if and only if det A 6= 0. (Use
the proof I gave in class.)
2. Suppose det A 6= 0. Then
(a) A adj(A) = det(A)I
1
adj(A).
(b) A1 =
det(A)
3. Let u and v be nonzero vecto
Math 210 E
Homework 6
Spring 2013
Drew Armstrong
Reading:
Section 4.2.
(We will mostly skip Chapter 3 and just sample the ideas we need.)
Problems:
Section 4.1: 24, 25
Section 4.2: 1, 5, 10, 16, 18, 19, 20
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Starred Theorems
for Math 210 Final Exam
1. A homogeneous system of linear equations with more unknowns than equations
has infinitely many solutions.
2. If A and B are invertible n n matrices then AB is invertible and
(AB)1 = B 1 A1 .
3. Let A and B be n