9. Ifu = (1, 1, − 1), v = ( − 5, 3, 4), and w = (4, 2, − 3), then - VX (W xu) is: f) a) 6 -2 14 8 b)-6 √1-14 이 2 - 14 8 d) 2 - 14 8 e) 2 A 14 -8

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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9. Ifu = (1, 1, − 1), v = ( − 5, 3, 4), and w = (4, 2, − 3), then
VX (W xu) is:
f)
(i)
a) 6
(iv)
(vi)
-2
14
8
b)-6
[₁
diag(1, 2, 4)
diag(1, 1, 1)
diag(2, 1, 4)
diag(4, 2, 1)
diag(2, 4, 1)
diag(4, 4, 4)
2
- 14
a) (i) only
d) (i), (iii), (iv), and (v) only
- 8
d)
10. Which of the following can be the main diagonal for the diagonal matrix D of a
matrix A with eigenvalues 1, 2, and 4?
b) (i) and (iv) only
2
- 14
8
e)
e) (ii) and (vi) only
[
2
14
-8
c) (i), (ii), and (vi) only
f) none of these
Transcribed Image Text:9. Ifu = (1, 1, − 1), v = ( − 5, 3, 4), and w = (4, 2, − 3), then VX (W xu) is: f) (i) a) 6 (iv) (vi) -2 14 8 b)-6 [₁ diag(1, 2, 4) diag(1, 1, 1) diag(2, 1, 4) diag(4, 2, 1) diag(2, 4, 1) diag(4, 4, 4) 2 - 14 a) (i) only d) (i), (iii), (iv), and (v) only - 8 d) 10. Which of the following can be the main diagonal for the diagonal matrix D of a matrix A with eigenvalues 1, 2, and 4? b) (i) and (iv) only 2 - 14 8 e) e) (ii) and (vi) only [ 2 14 -8 c) (i), (ii), and (vi) only f) none of these
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