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Is the given set a vector space? Provide a complete demonstration. If your answer is yes, find the dimension of the vector space and

Is the given set a vector space? Provide a complete demonstration. If your answer is yes, find the dimension of the vector space and its basis. All skew-symmetric 3 x 3 matrices. All n x n (square) matrices A with det(A) = 0. '0 Hint: A 3 x 3 skew-symmetric matrix has the form A = a b -a -by -c and the property AT = -A. 0

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