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 b. Find an element Y in V that is not in W. Y = W = -4 pan{ [23] ·[35]). -4 -3

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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a. Find a nonzero element X in W.
3
X
Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace
b. Find an element Y in V that is not in W.
3
Y =
3
- span([3] ).
span{
-3
W =
Transcribed Image Text:a. Find a nonzero element X in W. 3 X Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace b. Find an element Y in V that is not in W. 3 Y = 3 - span([3] ). span{ -3 W =
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