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 O 15 O 36

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 25E: Let A and B be square matrices of order n over Prove or disprove that the product AB is a diagonal...
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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
15
O 36
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 15 O 36
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