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 0 -3 1 W-span{ [2, 3] [44] = -3 0 = Y b. Find an element Y in V that is not in W.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 26CM: Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].
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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
0 -3
1
W-span{ [2, 3] [44]
=
-3 0
=
Y
b. Find an element Y in V that is not in W.
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 0 -3 1 W-span{ [2, 3] [44] = -3 0 = Y b. Find an element Y in V that is not in W.
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