a. Find a nonzero element X in W. X = Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W = span{ b. Find an element Y in V that is not in W. Y = {[ -3 0 0 -5 9] [25]} -5 4 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a. Find a nonzero element X in W.
X=
Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace
W = span{
b. Find an element Y in V that is not in W.
Y
-3 0
[9] [%]
0
4
Transcribed Image Text:a. Find a nonzero element X in W. X= Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace W = span{ b. Find an element Y in V that is not in W. Y -3 0 [9] [%] 0 4
Expert Solution
Step 1: Solution

Given: Let V be the vector space of symmetric 2 cross times 2 matrices and W be the subspace

W equals space s p a n space open curly brackets open square brackets table row cell negative 3 end cell 0 row 0 cell negative 3 end cell end table close square brackets comma space open square brackets table row 0 cell negative 5 end cell row cell negative 5 end cell 4 end table close square brackets close curly brackets

(a): In part (a) we have to find a nonzero element X in W.

(b): In part (b) we have to find an element Y in V that is not in W.


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