Algebra for College Students
10th Edition
ISBN: 9781285195780
Author: Jerome E. Kaufmann, Karen L. Schwitters
Publisher: Cengage Learning
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Textbook Question
Chapter 5.7, Problem 19PS
For Problems 19-32, write each of the following in ordinary decimal notation. (Objective 2)
For example,
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Assume {u1, U2, 13, 14} spans R³.
Select the best statement.
A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set.
B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector.
C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set.
D. {U1, U2, us} always spans R³.
E. {U1, U2, u3} may, but does not have to, span R³.
F. none of the above
Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane.
Select an Answer
u =
3
1.
-10
8-8
-2
,v=
5
Select an Answer
-2
u =
3
4
2.
+
9
,v=
6
Solve for the matrix X:
X
(2 7³) x + ( 2 ) - (112)
6
14
8
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