For two general matrices and , which matrix property does NOT hold in general?
Answer and explanation
Correct answer: A.
- Step 1: Matrix multiplication is associative: .
- Step 2: Matrix multiplication distributes over matrix addition: .
- Step 3: However, matrix multiplication is generally NOT commutative: in general.
Answer
.
Why not the others: Associativity and distributivity are fundamental algebraic properties that hold for all conformable matrices.
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