EBK MATHEMATICS ALL AROUND
6th Edition
ISBN: 8220103632027
Author: Pirnot
Publisher: Pearson Education (US)
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Textbook Question
Chapter 12.2, Problem 27E
Counting routes for an armored van. A Wells Fargo armored van must travel from the (D)iamond House, make a pickup at (J)avier’s Jewelry, Inc, then stop at (E)mily’s Emeralds, and finally go to the (B)ank. Use the street map on page 636 to answer the questions.
a. How many direct routes are there from D to I?
b. How many direct routes are there from I to J?
c. How many direct routes are there from J to E?
d. How many direct routes are there from E to B?
e. How many direct routes are there from D to B, passing through J and E?
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Students have asked these similar questions
Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.)
☐ A.
{
7
4
3
13
-9
8
-17
7
☐ B.
0
-8
3
☐ C.
0
☐
D.
-5
☐ E.
3
☐ F.
4
TH
Assume {u1, U2, u3} does not span R³.
Select the best statement.
A. {U1, U2, u3, u4} never spans R³.
B. {U1, U2, u3, u4} spans R³ unless u4 is the zero vector.
C. {U1, U2, U3, U4} may, but does not have to, span R³.
D. {U1, U2, U3, U4} spans R³ unless u is a scalar multiple of another vector in the set.
○ E. {U1, U2, u3, u4} always spans R³.
F. none of the above
3
and = 5
3
---8--8--8
Let
= 3 U2
=
1
Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.)
3
☐ A. The vector
3
is in the span.
-1
3
☐ B. The vector -5
75°1
is in the span.
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☐ C. The vector 0 is in the span.
3
-4 is in the span.
OD. The vector
0
3
☐ E. All vectors in R³ are in the span.
3
F. The vector 9
-4
5 3
is in the span.
0
☐ G. We cannot tell which vectors are i the span.
Chapter 12 Solutions
EBK MATHEMATICS ALL AROUND
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