Let V be the vector space of symmetric 2 x 2 matrices and W be the subspace 台北 -2 4 -2 -3 a. Find a nonzero element X in W. X= D. Find an element Y in V that is not in W. W = span{ +7 }.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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
3][4]
}.
-4 -5
b. Find an element Y in V that is not in W.
Y =
W = span{
-1 -2
-2 -3
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 3][4] }. -4 -5 b. Find an element Y in V that is not in W. Y = W = span{ -1 -2 -2 -3
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