Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W= a. If u is in W and c is any scalar, is cu in W? Why? OA. {[+] y O B. O C. If u = If u = X y If u = is in W, then the vector cu = c X •=[]• is in W, then the vector cu c X X CX [*][*] is in W, then the vector cu = c cy ( * )=0} . is in W because (cx) (cy) = c²(xy) ≤0 since xy ≤ 0. Complete parts a and b below. is in W because cxy ≤0 since xy ≤ 0. is not in W because cxy z 0 in some cases.
Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W= a. If u is in W and c is any scalar, is cu in W? Why? OA. {[+] y O B. O C. If u = If u = X y If u = is in W, then the vector cu = c X •=[]• is in W, then the vector cu c X X CX [*][*] is in W, then the vector cu = c cy ( * )=0} . is in W because (cx) (cy) = c²(xy) ≤0 since xy ≤ 0. Complete parts a and b below. is in W because cxy ≤0 since xy ≤ 0. is not in W because cxy z 0 in some cases.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W=
a. If u is in W and c is any scalar, is cu in W? Why?
OA.
{[+]
y
O B.
O C.
If u =
If u =
X
y
If u =
is in W, then the vector cu = c
X
•=[]•
is in W, then the vector cu c
X
X
CX
[*][*]
is in W, then the vector cu = c
cy
( * )=0} .
is in W because (cx) (cy) = c²(xy) ≤0 since xy ≤ 0.
Complete parts a and b below.
is in W because cxy ≤0 since xy ≤ 0.
is not in W because cxy z 0 in some cases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F982437f2-81fd-4f07-8f8a-fea4c039ac1e%2F012ad30f-e885-4882-b408-4942843d84a0%2Fq2bna4_processed.png&w=3840&q=75)
Transcribed Image Text:Let W be the union of the second and fourth quadrants in the xy-plane. That is, let W=
a. If u is in W and c is any scalar, is cu in W? Why?
OA.
{[+]
y
O B.
O C.
If u =
If u =
X
y
If u =
is in W, then the vector cu = c
X
•=[]•
is in W, then the vector cu c
X
X
CX
[*][*]
is in W, then the vector cu = c
cy
( * )=0} .
is in W because (cx) (cy) = c²(xy) ≤0 since xy ≤ 0.
Complete parts a and b below.
is in W because cxy ≤0 since xy ≤ 0.
is not in W because cxy z 0 in some cases.
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