Which of the following form an orthonormal set in a euclidean inner product space R3 ? 2 2 1 1 2 2 В. 3 3 3 3 3 1 0, 1 C. (0, 0, 0), 1 1 A. 0, 1 2 D. E. None in the given list.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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« < Question 9 of 46 > »
Question 9
Which of the following form an orthonormal set in a euclidean inner product space
R3
?
1
1
2
2
В.
|
3
3
3
3
3
1
C. (0, 0, 0), |0,
1
/2
1
1
A.
0,
V3
1
-
E. None in the given list.
Transcribed Image Text:A Moving to another question will save this response. « < Question 9 of 46 > » Question 9 Which of the following form an orthonormal set in a euclidean inner product space R3 ? 1 1 2 2 В. | 3 3 3 3 3 1 C. (0, 0, 0), |0, 1 /2 1 1 A. 0, V3 1 - E. None in the given list.
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« < Question 8 of 46 >
Question 8
Let
L:R³→R3
be a linear map such that L(3.,0,1) = (2,7,11) and L(1,0,0) = (1,2,4)· Then the value of
L(4,0,2)
is:
A. None of the choices in the list is correct.
B. L(4,0,2) = (0,0,0)·
C. L(4,0,2) = (2, 10, 14) ·
D. L(4,0,2) = (3,9, 15)·
Transcribed Image Text:A Moving to another question will save this response. « < Question 8 of 46 > Question 8 Let L:R³→R3 be a linear map such that L(3.,0,1) = (2,7,11) and L(1,0,0) = (1,2,4)· Then the value of L(4,0,2) is: A. None of the choices in the list is correct. B. L(4,0,2) = (0,0,0)· C. L(4,0,2) = (2, 10, 14) · D. L(4,0,2) = (3,9, 15)·
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