Newberger Math 247 Spring 03
Review sheet for Exam 1
This exam will cover Sections 1.1 through 1.6 in Chapter 1. Use this
list of questions to guide your studies. Look in the problems at the end
of each sections for these questions and make sure you know what they
are ansking and how to find the answers.
Vocabulary
(Look up the definitions in the book to get them right!):
1.
What is a linear combination of vectors?
2.
What is the span of vectors
{
v
1
,
v
2
, . . . ,
v
n
}
?
3.
What does it mean for a system to be inconsistent? consistent?
4.
What is a homogeneous equation?
5.
What is the trivial solution to a homogeneous equation?
6.
What does it mean for a set of vectors
{
v
1
,
v
2
, . . . ,
v
n
}
to be linearly
independent?
7.
What does it mean for a set of vectors
{
v
1
,
v
2
, . . . ,
v
n
}
to span
R
m
?
8.
What are free variables? What are basic variables?
About a system of equations:
1.
What is the solution set?
Write the solution set in parametric
vector form.
2.
Is the system consistent or inconsistent?
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 Spring '03
 F,newberger
 Math, Vectors

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