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Let V be the set of all (6x6) real skew-symmetric matrices. 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? 30 21 36 15

Let V be the set of all (6x6) real skew-symmetric matrices. 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? 30 21 36 15

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let V be the set of all (6x6) real skew-symmetric matrices. 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? 30 21 36 O15
Transcribed Image Text:Let V be the set of all (6x6) real skew-symmetric matrices. 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? 30 21 36 O15
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