Let V be the set of all (6x6) real symmetric matrices. Recall that a matrix is called symmetric if it is equal to its transpose. It can be shown that V is a vector space over R with respect to usual matrix addition and scalar multiplication. What is the dimension of the vector space V? 6. 36 15 21
Let V be the set of all (6x6) real symmetric matrices. Recall that a matrix is called symmetric if it is equal to its transpose. It can be shown that V is a vector space over R with respect to usual matrix addition and scalar multiplication. What is the dimension of the vector space V? 6. 36 15 21
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 5CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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![Let V be the set of all (6x6) real
symmetric matrices. Recall that a
matrix is called symmetric if it is
equal to its transpose. It can be
shown that V is a vector space
over R with respect to usual matrix
addition and scalar multiplication.
What is the dimension of the
vector space V?
6.
36
15
21](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffabe7c4d-2db2-4862-ab63-13dae80ec07e%2F1fb90ed5-dbc6-49fa-bee8-bc1d2881431d%2F0ugzisd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let V be the set of all (6x6) real
symmetric matrices. Recall that a
matrix is called symmetric if it is
equal to its transpose. It can be
shown that V is a vector space
over R with respect to usual matrix
addition and scalar multiplication.
What is the dimension of the
vector space V?
6.
36
15
21
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