Mathematics, 11.10.2020 23:01, senituliii

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.

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Determine whether the set, together with the indicated operations, is a vector space. If it is not,...