Let H be the subset of the vector space M of symmetric matrices of order 3 such that O z+1y 2x H = y +1 2x z Determine if H is a subspace of M; If so, give its dimension, and if not, justify your answer.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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Let H be the subset of the vector space M of symmetric matrices of order 3 such that
O z+1y
H = }
2x
|x, y, z €R
y
2x
Determine if H is a subspace of M; If so, give its dimension, and if not, justify your answer.
Transcribed Image Text:Let H be the subset of the vector space M of symmetric matrices of order 3 such that O z+1y H = } 2x |x, y, z €R y 2x Determine if H is a subspace of M; If so, give its dimension, and if not, justify your answer.
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