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.
Keep practising Matrices and Determinants
Browse all Matrices and Determinants questions for AP Intermediate 2nd Year, or explore more Mathematics topics.
Related questions