On M2(R), define the operations of addition and scalar multiplication by a real number (
Chapter 4, Problem 25(choose chapter or problem)
On M2(R), define the operations of addition and scalar multiplication by a real number ( and , respectively) as follows: A B = (A + B), k A = k A, where the operations on the right-hand sides of these equations are the usual ones associated with M2(R). Determine which of the axioms for a vector space are satisfied by M2(R) with the operations and .
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