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 falls.
the set of all 2 x 2 matrices of the form
tabl
co
with the standard operations
the set is a vector space.
the set is not a vector space because it is not closed under addition.
the set is not a vector space because an additive inverse does not exist.
the set is not a vector space because it is not closed under scalar multiplication.
the set is not a vector space because a scalar identity does not exist.