Question: Question 2. Let V = M2x2R. Let W be the set of all anti-symmetric matrices in V , i.e., the matrices A such that the

Question 2. Let V = M2x2R. Let W be the set of all anti-symmetric matrices in V , i.e., the matrices A such that the transpose AT= - A. Prove that W is a subspace of V .

Question 3. Let V = R^ 4 , and let W be the set of all vectors [a b c d] in V such that a + b+ 2c= 0 and b - d=

all anti-symmetric matrices in V , i.e., the matrices A such that

\f\f\f\f\f\f

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