Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. The set of all 3 × 3 matrices of the form 0 0 0 a bc de with the standard operations O The set is a vector space. O The set is not a vector space because it is not closed under addition. O The set is not a vector space because an additive identity does not exist. O The set is not a vector space because an additive inverse does not exist. O The set is not a vector space because it is not closed under scalar multiplication.

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A: See the attachment

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