Matrix multiplication is:
AAssociative + distributive, NOT commutative in general
BAlways commutative for any square matrix size
CNever associative under any circumstance
DCommutative for diagonal matrices only, anywhere
Answer & Solution
Correct answer: A. Associative + distributive, NOT commutative in general
Matrix multiplication is associative (AB)C = A(BC) and distributive A(B+C) = AB + AC. But it is NOT generally commutative: AB ≠ BA. Diagonal matrices commute with each other; identity commutes with everything.
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