Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace 3 W = span{ -1 2 2 }. 2 2 a. Find a nonzero element X in W. b. Find an element Y in V that is not in W.
Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace 3 W = span{ -1 2 2 }. 2 2 a. Find a nonzero element X in W. b. Find an element Y in V that is not in W.
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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Hi, need help with this calc 3 question, thank you!
![Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace
3
W = span{
-1
2 2
}.
2 2
a. Find a nonzero element X in W.
b. Find an element Y in V that is not in W.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9128905-2bdf-41e5-8502-b679e3fbc062%2Fde57900a-c0dd-403f-839f-dace5739a4d2%2Fh01u6hm.png&w=3840&q=75)
Transcribed Image Text:Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace
3
W = span{
-1
2 2
}.
2 2
a. Find a nonzero element X in W.
b. Find an element Y in V that is not in W.
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