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Let V be the set of all (2x2) 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? )1 3 4 2

Let V be the set of all (2x2) 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? )1 3 4 2

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 9E
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Let V be the set of all (2x2) 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? ) 3 04
Transcribed Image Text:Let V be the set of all (2x2) 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? ) 3 04
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