Let V be the set of vectors shown below. v={[:] V= a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. OA. u= O C. The vector u + v may or may not be in V depending on the values of x and y. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. [-2] B. u= :x≤0, y ≤0 O c. u= OD. u= so} -2 -2 -2 - 2 2 -[1]. 2 C = -1 c = 4 C = -1 c=4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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J2.

Find a specific vector u in V and a specific scalar c such that cu is not in V 

 

 

 

 

Let V be the set of vectors shown below.
v={[:]
V=
a. If u and v are in V, is u + v in V? Why?
b. Find a specific vector u in V and a specific scalar c such that cu is not in V.
OA. u=
O
C. The vector u + v may or may not be in V depending on the values of x and y.
D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars.
b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below.
[-2]
B. u=
:x≤0, y ≤0
O c. u=
OD. u=
so}
-2
-2
-2
- 2
2
-[1].
2
C = -1
c = 4
C = -1
c=4
Transcribed Image Text:Let V be the set of vectors shown below. v={[:] V= a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. OA. u= O C. The vector u + v may or may not be in V depending on the values of x and y. D. The vector u + v is never in V because the entries of the vectors in V are scalars and not sums of scalars. b. Find a specific vector u in V and a specific scalar c such that cu is not in V. Choose the correct answer below. [-2] B. u= :x≤0, y ≤0 O c. u= OD. u= so} -2 -2 -2 - 2 2 -[1]. 2 C = -1 c = 4 C = -1 c=4
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