Consider (V, 0, +,) where V is the set of 2 x 2 complex matrices of...

    

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Consider (V, 0, +,) where V is the set of 2 x 2 complex matrices of the form [a b] C for some a, b, c E C, 0 is the matrix +VxVV is defined by 0 [a b] [a b] [a+a' b+b] + = 0 c 0 c+d and Cx VV is defined by [Aa Ab] A. = 0 Ac Is (V, 0, +,) a complex vector space? Justify your answer. Consider (V, 0, +,) where V is the set of 2 x 2 complex matrices of the form [a b] C for some a, b, c E C, 0 is the matrix +VxVV is defined by 0 [a b] [a b] [a+a' b+b] + = 0 c 0 c+d and Cx VV is defined by [Aa Ab] A. = 0 Ac Is (V, 0, +,) a complex vector space? Justify your answer.