Discrete Mathematics: Introduction to Mathematical Reasoning
1st Edition
ISBN: 9780495826170
Author: Susanna S. Epp
Publisher: Cengage Learning
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Chapter 1.3, Problem 6ES
a.
To determine
To calculate: The solution of relation
b.
To determine
To calculate: The solution of
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Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
8. In the following check to see if the set S is a vector subspace of the corresponding Rn. If
it is not, explain why not. If it is, then find a basis and the dimension.
X1
(a) S
=
X2
{[2], n ≤ n } c
X1 X2
CR²
X1
(b) S
X2
=
X3
X4
x1 + x2 x3 = 0
Chapter 1 Solutions
Discrete Mathematics: Introduction to Mathematical Reasoning
Ch. 1.1 - Prob. 1ESCh. 1.1 - Prob. 2ESCh. 1.1 - Prob. 3ESCh. 1.1 - Prob. 4ESCh. 1.1 - Prob. 5ESCh. 1.1 - Prob. 6ESCh. 1.1 - Prob. 7ESCh. 1.1 - Prob. 8ESCh. 1.1 - Prob. 9ESCh. 1.1 - Prob. 10ES
Ch. 1.1 - Prob. 11ESCh. 1.1 - Prob. 12ESCh. 1.1 - Prob. 13ESCh. 1.2 - Prob. 1ESCh. 1.2 - Prob. 2ESCh. 1.2 - Prob. 3ESCh. 1.2 - Prob. 4ESCh. 1.2 - Prob. 5ESCh. 1.2 - Prob. 6ESCh. 1.2 - Prob. 7ESCh. 1.2 - Prob. 8ESCh. 1.2 - Prob. 9ESCh. 1.2 - Prob. 10ESCh. 1.2 - Prob. 11ESCh. 1.2 - Prob. 12ESCh. 1.3 - Prob. 1ESCh. 1.3 - Prob. 2ESCh. 1.3 - Prob. 3ESCh. 1.3 - Prob. 4ESCh. 1.3 - Prob. 5ESCh. 1.3 - Prob. 6ESCh. 1.3 - Prob. 7ESCh. 1.3 - Prob. 8ESCh. 1.3 - Prob. 9ESCh. 1.3 - Prob. 10ESCh. 1.3 - Prob. 11ESCh. 1.3 - Prob. 12ESCh. 1.3 - Prob. 13ESCh. 1.3 - Prob. 14ESCh. 1.3 - Prob. 15ESCh. 1.3 - Prob. 16ESCh. 1.3 - Prob. 17ESCh. 1.3 - Prob. 18ESCh. 1.3 - Prob. 19ESCh. 1.3 - Prob. 20ES
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